Objective:This study aimed to explore the clinical effect of acupuncture therapy for menstruation regu-lation and pregnancy promotion on thin endometrium in the real world.Design:This study is a single-center pragmati...Objective:This study aimed to explore the clinical effect of acupuncture therapy for menstruation regu-lation and pregnancy promotion on thin endometrium in the real world.Design:This study is a single-center pragmatic randomized controlled trial blinded to the statisticians.Using the“blockrand”software package,based on the age(≥35,<35),37 patients were randomized into an intervention group(19 cases)and a control group(18 cases).After reassignment regarding patient preference,21 patients were included in the intervention group and 16 in the control group.Setting:The trial was executed in the Specialty Outpatient Clinic,Acupuncture-Moxibustion Hospital of China Academy of Chinese Medical Sciences,from March 1,2019,to September 30,2020.Participants:The study included 37 patients with thin endometrium and without previous acupuncture treatment.Intervention:The intervention group was administered acupuncture for menstruation regulation and pregnancy promotion and a small-dose of progynova(2 mg daily),while the control group was adminis-tered a large-dose of progynova(4 mg daily).Interventions started from Day 5 of menstruation until the end of ovulation under B-ultrasound monitoring.The intervention lasted for three menstrual cycles.Measurements:Primary outcomes were changes in endometrial thickness between baseline and after intervention completion and the difference between the two groups after intervention.The secondary outcomes were endometrial and subendometrial blood flow,serum estradiol levels,menstrual conditions,and adverse reactions.Results:(1)Comparison of each indicator before and after intervention completion in the two groups:in the intervention group,the differences were significant in endometrial thickness,menstrual score,estra-diol(E2)level in ovulatory period,the pulsatility index(PI)and resistance index(RI)of uterine artery,the ratio of peak systolic velocity to end-diastolic velocity(S/D),the endometrial vascular index(VI),flow index(FI),and vascular flow index(VFI)and volume(P<0.01).In the control group,significant changes were observed in endometrial thickness,menstrual score,and E2 before and after the interven-tion(P<0.05),and no differences were observed in uterine artery PI,RI,S/D and endometrial VI,FI,VFI,and volume(P>0.05).Compared with the control group,the intervention group showed significant differences in endometrial thickness,menstrual score,E2,uterine artery PI,RI,S/D,and endometrial VI,FI,VFI,and volume after intervention(P<0.01).No adverse reactions were reported in the intervention group.In contrast,the control group had two cases of nausea and gastrointestinal discomfort after med-ication,eight cases of breast distention during medication,and one case of breast nodules enlarged by 1 cm after trial completion.展开更多
Background Increased backfat thickness of sows in early gestation is negative to reproductive performance.Endometrial receptivity is an important determinant of reproductive success,but it is unclear whether the effec...Background Increased backfat thickness of sows in early gestation is negative to reproductive performance.Endometrial receptivity is an important determinant of reproductive success,but it is unclear whether the effect of sow backfat thickness on litter size is associated with endometrial receptivity and whether melatonin treatment may have benefits.The present study seeks to answer these questions through in vitro and in vivo investigations.Results Excessive lipid deposition and lower melatonin levels in the uterus are detrimental to endometrial receptivity and embryo implantation in high backfat thickness sows.In cells treated with melatonin,the MT2/PI3K/LIF axis played a role in reducing lipid accumulation in porcine endometrial epithelium cells and improved endometrial receptivity.Furthermore,we found a reduction of lipids in the uterus after eight weeks of intraperitoneal administration of melatonin to HFD mice.Notably,melatonin treatment caused a significant reduction in the deposition of endometrial collagen,an increase in the number of glands,and repair of the pinopode structure,ultimately improving endometrial receptivity,promoting embryo implantation,and increasing the number of litter size of mice.Conclusions Collectively,the finding reveals the harmful effects of high backfat thickness sows on embryo implantation and highlight the role of melatonin and the MT2/PI3K/LIF axis in improving endometrial receptivity by enhancing metabolism and reducing the levels of uterine lipids in obese animals.展开更多
Hypersonic boundary-layer receptivity to freestream entropy and vorticity waves is investigated using direct numerical simula-tions for a Mach 6 flow over a 5.08 mm nose radius cone.Two frequencies of 33 kHz and 150 k...Hypersonic boundary-layer receptivity to freestream entropy and vorticity waves is investigated using direct numerical simula-tions for a Mach 6 flow over a 5.08 mm nose radius cone.Two frequencies of 33 kHz and 150 kHz are considered to be rep-resentative of the first and second instability modes,respectively.For the first mode,wall pressure fluctuations for both entropy and vorticity wave cases exhibit a strong modulation yet without a growing trend,indicating that the first mode is not generated despite its instability predicted by linear stability theory.The potential reason for this is the absence of postshock slow acoustic waves capable of synchronizing with the first mode.By contrast,for the second mode,a typical three-stage boundary-layer response is observed,consistent with that to slow acoustic waves studied previously.Furthermore,the postshock disturbances outside the boundary layer can be decomposed into the entropy(density/temperature fluctuations)and vorticity components(ve-locity fluctuations),and the latter is shown to play a leading role in generating the second mode,even for the case with entropy waves where the density/temperature fluctuations dominate the postshock regions.展开更多
Objective:To analyze the diagnostic value of transvaginal three-dimensional ultrasound(3D-TVS)in evaluating endometrial receptivity(ER)for ovulation disorder infertility(ODI),and to investigate the impact of subendome...Objective:To analyze the diagnostic value of transvaginal three-dimensional ultrasound(3D-TVS)in evaluating endometrial receptivity(ER)for ovulation disorder infertility(ODI),and to investigate the impact of subendometrial endometrial vascular index(VI)and endometrial vascular flow index(VFI)levels on ODI.Methods:A total of 110 patients diagnosed with ODI admitted between January 2023 and June 2024 were selected.All patients underwent ovulation induction therapy,3D-TVS examination,and sex hormone testing.Based on pregnancy outcomes,patients were divided into a successful pregnancy group(73 cases)and an unsuccessful pregnancy group(37 cases).ER parameters,sex hormone levels,and endometrial blood flow patterns were compared between the two groups.Receiver operating characteristic(ROC)curves were plotted to evaluate the predictive value of ER for ODI.Results:The spiral artery peak systolic velocity(PSV),endometrial volume(EMV),endometrial flow index(FI),and VFI in the successful pregnancy group were significantly higher than those in the unsuccessful pregnancy group(p<0.05).No significant differences were observed in other ER parameters between the two groups(p>0.05).There was no significant difference in sex hormone levels between the two groups on the day of human chorionic gonadotropin(hCG)treatment(p>0.05).Among the endometrial blood flow classifications in the pregnant group,the proportion of Type II was lower than that in the nonpregnant group(p<0.05).The Receiver Operating Characteristic(ROC)curve demonstrated that the area under the curve(AUC)for Endometrial Volume(EMV)in predicting pregnancy after Ovarian Dysfunction Infertility(ODI)treatment was 0.854,with a sensitivity of 92.61%and a specificity of 71.75%.The AUC for Vascularization Index(VI)was 0.771,with a sensitivity of 52.18%and a specificity of 88.70%.The AUC for Vascularization Flow Index(VFI)of the endometrium was 0.887,with a sensitivity of 80.01%and a specificity of 69.20%.Conclusion:Three-dimensional transvaginal sonography(3D-TVS)assessment of endometrial receptivity(ER)can effectively detect ODI,and the levels of subendometrial VI and VFI demonstrate superior predictive performance for pregnancy outcomes in this condition,serving as commonly used predictive indicators for the disease.展开更多
Objective:To assess whether personalized embryo transfer guided by endometrial receptivity array(ERA)improves implantation and pregnancy rates in women with implantation failure.Methods:This retrospective case-control...Objective:To assess whether personalized embryo transfer guided by endometrial receptivity array(ERA)improves implantation and pregnancy rates in women with implantation failure.Methods:This retrospective case-control study was conducted on women with previous implantation failure.The women were divided into two groups,i.e,women who underwent ERA and those who underwent embryo transfer without ERA testing.ERA was performed using Igenomix.ERA results were interpreted as receptive or non-receptive.Women underwent frozen embryo transfer on the 6th day of progesterone(P+5).The primary outcomes were implantation rate,clinical pregnancy rate,abortion rate,and negative pregnancy rate.Results:This study included 229 women with previous implantation failure,with 154 in the ERA group and 75 in the no ERA group.The mean age of the women of the ERA group was(32.2±4.1)years,and that of the no ERA group was(31.5±4.8)years.Women in the ERA group had a higher implantation rate(60.4%)and clinical pregnancy rate(57.1%)compared to those in the no ERA group(48.0%and 46.7%,respectively).In addition,implantation rate of the nonreceptive ERA group was higher than the no ERA group(65%vs.48%),and clinical pregnancy rate was also higher in the non-receptive ERA group than the no ERA group(65%vs.47%).The abortion rate of the no ERA group was 9%and that of the non-receptive ERA group was 10%.52%no ERA group women and 35%non-receptive ERA group women had negative pregnancy results.Conclusions:Women who have undergone personalised embryo transfer guided by ERA have a higher clinical pregnancy rate than women who have not after previous implantation failure.展开更多
BACKGROUND Despite advances in the use of in vitro fertilization-embryo transfer(ET)in couples with infertility,recurrent implantation failure(RIF)after ET is still a major problem affecting women,with great psycholog...BACKGROUND Despite advances in the use of in vitro fertilization-embryo transfer(ET)in couples with infertility,recurrent implantation failure(RIF)after ET is still a major problem affecting women,with great psychological and economic burdens for the patient and his/her family.AIM To investigate the psychological burden(anxiety and depression)and evaluate the clinical benefits of endometrial receptivity testing(ERT)in patients experiencing RIF following frozen-thawed ET.METHODS A retrospective cohort study analyzed 371 patients experiencing RIF after assisted reproductive treatment at the First People’s Hospital of Changde City between January 2021 and June 2024.Demographic and clinical data were systematically collected through standardized questionnaires.Psychological assessment utilized validated instruments:The Self-Rating Depression Scale for depression evaluation and the Self-Rating Anxiety Scale for anxiety assessment.Participants were stratified by psychological status(anxiety/non-anxiety and depression/nondepression)to analyze influencing factors for anxiety and depression.The cohort was further categorized into the ERT and non-ERT groups based on ERT implementation to comparatively analyze their clinical outcomes.Additionally,they were divided into clinical and nonclinical pregnancy groups to identify factors affecting clinical pregnancy using univariate and multivariate logistic regression models.Compared with the non-ERT group,the 226 patients who underwent ERT-guided ET achieved a higher clinical pregnancy rate,thicker endometrium on transfer day,fewer embryos transferred,and a lower miscarriage rate.RESULTS The study identified a substantial psychological burden,with anxiety prevalence at 55.0%(mean Self-Rating Anxiety Scale score,50.89±9.34)and depression at 61.2%(mean Self-Rating Depression Scale score,55.55±9.48).Multivariate analysis identified annual household income>100000 yuan as protective factors against both anxiety and depression,whereas advanced maternal age(>35 years)and multiple implantation failures(≥3)served as risk factors.Additionally,anxiety-specific risk factors included prolonged infertility treatment(>5 years)and the spouse’s status as an only child.As to depression-specific risks,chronic infertility(>3 years)and higher educational attainment(college/bachelor’s degree or higher)were key determinants,whereas urban residence was a protective factor.Age>35 years was a risk factor for clinical pregnancy in patients experiencing RIF,whereas blastocyst-stage ET,a higher number of embryos transferred,and thicker endometrium were protective factors.CONCLUSION Patients experiencing RIF are particularly susceptible to anxiety and depression,and advanced maternal age and multiple implantation failures represent salient risk factors.Clinicians should implement proactive and evidencebased interventions to mitigate these psychological burdens.For patients experiencing RIF,ERT-guided ET demonstrates significant potential to improve assisted reproductive outcomes.展开更多
In this paper,we consider the maximal positive definite solution of the nonlinear matrix equation.By using the idea of Algorithm 2.1 in ZHANG(2013),a new inversion-free method with a stepsize parameter is proposed to ...In this paper,we consider the maximal positive definite solution of the nonlinear matrix equation.By using the idea of Algorithm 2.1 in ZHANG(2013),a new inversion-free method with a stepsize parameter is proposed to obtain the maximal positive definite solution of nonlinear matrix equation X+A^(*)X|^(-α)A=Q with the case 0<α≤1.Based on this method,a new iterative algorithm is developed,and its convergence proof is given.Finally,two numerical examples are provided to show the effectiveness of the proposed method.展开更多
This paper aims to explore and quantify the nonlinear vibration response of tri-directional functionally graded sandwich(3D-FGSW)plates partially supported by a Pasternak foundation(PF)subjected to blast loading(BL).A...This paper aims to explore and quantify the nonlinear vibration response of tri-directional functionally graded sandwich(3D-FGSW)plates partially supported by a Pasternak foundation(PF)subjected to blast loading(BL).A key objective is to develop a computationally efficient finite element framework capable of accurately capturing the complex behavior of 3D-FGSW plates.The studied configuration features a two-dimensional functionally graded material(2D-FGM)core between two threedimensional functionally graded material(3D-FGM)face layers.Nonlinear geometric effects,including mid-plane stretching,are modeled using von K arm an-type assumptions,and the governing equations are formulated via Hamilton's principle within an improved first-order shear deformation theory(iFSDT).The accuracy and computational efficiency of the proposed method are validated through comparison with existing benchmark solutions.Subsequently,a comprehensive parametric study is carried out to examine the effects of geometric dimensions,material properties,foundation sizes,and boundary conditions(BCs)on the nonlinear vibration of 3D-FGSW plates.The findings of this work are expected to provide valuable insights for the design and manufacturing of advanced sandwich structures subjected to BL.展开更多
The bipartite containment control problem for heterogeneous nonlinear multi-agent systems(HNMASs)within multi-group networks under signed digraphs is investigated,where the first-order and second-order nonlinear dynam...The bipartite containment control problem for heterogeneous nonlinear multi-agent systems(HNMASs)within multi-group networks under signed digraphs is investigated,where the first-order and second-order nonlinear dynamic agents belong to distinct groups.Interactions are cooperative-antagonistic within each group and sign-in-degree balanced across the inter-groups.Firstly,a state feedback control protocol is designed to ensure that the trajectories of followers in diverse groups can converge to distinct convex hulls formed by their corresponding leaders,respectively.As an extension,the bipartite control problem with time-variant formation for the multi-agent system(MAS)is also considered,and a corresponding control protocol with formation compensation vectors is given.Finally,in view of Lyapunov stability theory and matrix inequality,the sufficient conditions for realizing the bipartite containment control are obtained,and several simulations are provided to verify the validity of the above methods.展开更多
The goal of this paper is to investigate the long-time dynamics of solutions to a Kirchhoff type suspension bridge equation with nonlinear damping and memory term.For this problem we establish the well-posedness and e...The goal of this paper is to investigate the long-time dynamics of solutions to a Kirchhoff type suspension bridge equation with nonlinear damping and memory term.For this problem we establish the well-posedness and existence of uniform attractor under some suitable assumptions on the nonlinear term g(u),the nonlinear damping f(u_(t))and the external force h(x,t).Specifically,the asymptotic compactness of the semigroup is verified by the energy reconstruction method.展开更多
We investigate the constrained fractional Choquard equation■where m>0,N>2s with s∈(0,1)being the order of the fractional Laplacian operator and I_(α)forα∈(0,N)denotes the Riesz potential.The parameterμ∈ℝa...We investigate the constrained fractional Choquard equation■where m>0,N>2s with s∈(0,1)being the order of the fractional Laplacian operator and I_(α)forα∈(0,N)denotes the Riesz potential.The parameterμ∈ℝappears as a Lagrange multiplier.By imposing general mass-supercritical conditions on F,we confirm the existence of normalized solutions that characterize the global minimizer on the Pohozaev manifold.Our proof does not depend on the assumption that all weak solutions satisfy the Pohozaev identity,a challenge that remains unsolved for this doubly nonlocal equation.展开更多
This study develops an event-triggered control strategy utilizing the fully actuated system approach for nonlinear interconnected large-scale systems containing actuator failures.First,to reduce the complexity of the ...This study develops an event-triggered control strategy utilizing the fully actuated system approach for nonlinear interconnected large-scale systems containing actuator failures.First,to reduce the complexity of the design process,we transform the studied system into the form of a fully actuated system through a state transformation.Then,to address the unknown nonlinear functions and actuator fault parameters,we employ neural networks and adaptive estimation techniques,respectively.Moreover,to reduce the control cost and improve the control efficiency,we introduce event-triggered inputs into the control strategy.It is proved by the Lyapunov stability analysis that all signals of the closed-loop system are bounded and the output of system eventually converge to a bounded region.The efficacy of the control approach is ultimately demonstrated via the simulation of an actual machine feeding system.展开更多
Magnetorheological(MR)bearings,with their field-controllable rheological properties,offer new possibilities for control of rotor instabilities.However,their nonlinear dynamic behaviors and the underlying physical mech...Magnetorheological(MR)bearings,with their field-controllable rheological properties,offer new possibilities for control of rotor instabilities.However,their nonlinear dynamic behaviors and the underlying physical mechanisms governing these instabilities remain insufficiently understood.This work develops a coupled MR bearingrotor system model,where the oil film force is derived from a novel bilinear constitutive equation to capture the field-sensitive shear behaviors of MR fluids.Complex nonlinear dynamic behaviors including period doubling,quasi-period,and chaos are revealed,which emerge from the interaction between oil film vortex dynamics and magnetic excitation.The critical instability mechanism is identified from the evolution of intrinsic dynamic characteristics of MR bearings.When the whirl speed within the oil film reaches approximately half of the rotor speed,the damping force balances the destabilizing force,thereby defining a critical threshold beyond which the system transitions to instability.This threshold can be effectively tuned by adjusting the excitation current,which modifies the yield stress of MR fluids and consequently regulates the damping force.As a result,the nonlinear vibrations of oil whirl and whip can be suppressed,and the system stability can be significantly enhanced.These findings provide both theoretical insight and practical guidance for the design and control of MR bearing supported rotor systems.展开更多
In this paper,we present a finite volume trigonometric weighted essentially non-oscillatory(TWENO)scheme to solve nonlinear degenerate parabolic equations that may exhibit non-smooth solutions.The present method is de...In this paper,we present a finite volume trigonometric weighted essentially non-oscillatory(TWENO)scheme to solve nonlinear degenerate parabolic equations that may exhibit non-smooth solutions.The present method is developed using the trigonometric scheme,which is based on zero,first,and second moments,and the direct discontinuous Galerkin(DDG)flux is used to discretize the diffusion term.Moreover,the DDG method directly applies the weak form of the parabolic equation to each computational cell,which can better capture the characteristics of the solution,especially the discontinuous solution.Meanwhile,the third-order TVD-Runge-Kutta method is applied for temporal discretization.Finally,the effectiveness and stability of the method constructed in this paper are evaluated through numerical tests.展开更多
Achieving non-centrosymmetric(NCS) configurations in ABX3-type hybrid halides remains a critical challenge for nonlinear optical(NLO) materials due to the conflicting requirements of high second-harmonic generation(SH...Achieving non-centrosymmetric(NCS) configurations in ABX3-type hybrid halides remains a critical challenge for nonlinear optical(NLO) materials due to the conflicting requirements of high second-harmonic generation(SHG) response,wide bandgap,and phase-matching capabilities.Herein,we propose a triplesite modulation strategy by synergistically tailoring the A-site cations(2-methylimidazole cation/1-ethyl-3-methylimidazole cation),B-site metals(Sn^(2+)/Pb^(2+)),and X-site halogens(Cl/Br),which effectively disrupts lattice symmetry and enables NCS crystallization.Our results demonstrate a strong SHG response,an expanded optical bandgap and increased birefringence.The optimized compound C_(6)H_(11)N_(2)PbCl_(3) exhibits a moderately strong SHG efficiency of 3.8 × KDP,a wide bandgap(3.87 eV),and enhanced birefringence(0.139@1064 nm),surpassing majority hybrid NLO materials.The innovative anionic framework introduced here broadens the scope of hybrid NLO crystals,facilitating the integration of various aromatic heterocyclic cations.This research provides a robust strategic framework for the development of advanced NLO materials.展开更多
The equilibrium dynamics and nonlinear rheology of unentangled polymer blends remain inadequately understood,especially regarding the influence of short-chain matrix length N_(S) on the structure and rheological behav...The equilibrium dynamics and nonlinear rheology of unentangled polymer blends remain inadequately understood,especially regarding the influence of short-chain matrix length N_(S) on the structure and rheological behavior of dispersed long chains.Using molecular dynamics simulations based on the Kremer-Grest model,we systematically explore the N_(S)-dependence of static conformations,equilibrium dynamics,and nonlinear shear responses in unentangled long-chain/short-chain polymer blends.Our results demonstrate a decoupling between the static and dynamic sensitivity to N_(S):while the static chain size,R_g,follows Flory theory with slight swelling at small N_(S) due to incomplete excluded volume screening,the diffusion coefficient,D,and the relaxation time,τ_(0),exhibit a strong,non-monotonic N_(S)-dependence,transitioning from monomeric friction dominance at small N_(S) to collective segmental rearrangement at large N_(S).Additionally,we observe partial decoupling between the viscous and normal stress responses:while the zero-shear viscosity,η,is strongly N_(S)-dependent,the first and second normal stress coefficients,Ψ_(1) and Ψ_(2),collapse onto universal curves when scaled by the dimensionless shear rate,γτ_(0),suggesting a common mechanism of orientation and stretching.Under shear,long chains compress in the vorticity direction λ_(z)~Wi^(-0.2),which reduces collision frequency and contributes to shear thinning,while the scaling of weaker orientation resistance m_(G)~Wi^(0.35)reflects hydrodynamic screening by the short-chain matrix.These findings highlight the limitations of single-chain models and emphasize the necessity of considering N_(S)-dependent matrix dynamics and flow-induced structural changes in understanding the rheology of unentangled polymer blends.展开更多
Trajectory tracking for nonlinear robotic systems remains a fundamental yet challenging problem in control engineering,particularly when both precision and efficiency must be ensured.Conventional control methods are o...Trajectory tracking for nonlinear robotic systems remains a fundamental yet challenging problem in control engineering,particularly when both precision and efficiency must be ensured.Conventional control methods are often effective for stabilization but may not directly optimize long-term performance.To address this limitation,this study develops an integrated framework that combines optimal control principles with reinforcement learning for a single-link robotic manipulator.The proposed scheme adopts an actor–critic structure,where the critic network approximates the value function associated with the Hamilton–Jacobi–Bellman equation,and the actor network generates near-optimal control signals in real time.This dual adaptation enables the controller to refine its policy online without explicit system knowledge.Stability of the closed-loop system is analyzed through Lyapunov theory,ensuring boundedness of the tracking error.Numerical simulations on the single-link manipulator demonstrate that themethod achieves accurate trajectory followingwhile maintaining lowcontrol effort.The results further showthat the actor–critic learning mechanism accelerates convergence of the control policy compared with conventional optimization-based strategies.This work highlights the potential of reinforcement learning integrated with optimal control for robotic manipulators and provides a foundation for future extensions to more complex multi-degree-of-freedom systems.The proposed controller is further validated in a physics-based virtual Gazebo environment,demonstrating stable adaptation and real-time feasibility.展开更多
We investigate the alpha helical protein structure characterized by fourth-order interspine coupling,focusing on a three-coupled fourth-order nonlinear Schr??dinger system.We introduce a generalized Darboux transforma...We investigate the alpha helical protein structure characterized by fourth-order interspine coupling,focusing on a three-coupled fourth-order nonlinear Schr??dinger system.We introduce a generalized Darboux transformation,departing from the classical Darboux transformation.Based on this,we construct the two-and three-degenerate soliton solutions and four-degenerate asymptotic soliton solutions.Based on the asymptotic analysis,we find that the amplitudes of interacting solitons are retained upon the interactions.Elastic interactions between two degenerate solitons exhibiting four curve-type asymptotic solitons are depicted.When the lattice parameterβchanges,the velocities of the two degenerate solitons also change.Elastic interaction among three degenerate solitons comprising four curve-type asymptotic solitons and two line-type solitons is presented.Interaction among one soliton and two degenerate solitons with different velocities is shown.Elastic interaction among four degenerate solitons comprising eight curve-type asymptotic solitons is also presented.Interaction among two two-degenerate solitons with two spectral parameters is shown.The relative distance between two asymptotic solitons exhibits logarithmic growth with|t|,where t represents the retarded time.Acceleration of soliton separation decays exponentially with relative distance,and eventually approaches zero.Phase shifts depend on t.展开更多
The flow of a tetra-hybrid Casson nanofluid(Al_(2)O_(3)-CuO-TiO_(2)-Ag/H_(2)O)over a nonlinear stretching sheet is investigated.The Buongiorno model is used to account for thermophoresis and Brownian motion,while ther...The flow of a tetra-hybrid Casson nanofluid(Al_(2)O_(3)-CuO-TiO_(2)-Ag/H_(2)O)over a nonlinear stretching sheet is investigated.The Buongiorno model is used to account for thermophoresis and Brownian motion,while thermal radiation is incorporated to examine its influence on the thermal boundary layer.The governing partial differential equations(PDEs)are reduced to a system of nonlinear ordinary differential equations(ODEs)with fully non-dimensional similarity transformations involving all independent variables.To solve the obtained highly nonlinear system of differential equations,a novel Clique polynomial collocation method is applied.The analysis focuses on the effects of the Casson parameter,power index,radiation parameter,thermophoresis parameter,Brownian motion parameter,and Lewis number.The key findings show that thermal radiation intensifies the thermal boundary layer,the Casson parameter reduces the velocity,and the Lewis number suppresses the concentration with direct relevance to polymer processing,coating flows,electronic cooling,and biomedical applications.展开更多
Transforming urban spatial structures to promote green and low-carbon development is an effective strategy.Although prior studies have examined the impact of urban polycentricity on carbon emissions and economic devel...Transforming urban spatial structures to promote green and low-carbon development is an effective strategy.Although prior studies have examined the impact of urban polycentricity on carbon emissions and economic development,research on its role in the synergistic relationship between these factors regarding carbon emission efficiency is limited.Furthermore,existing literature often overlooks nonlinear effects and interactions with other urban variables.This paper analyzed data from 295 Chinese cities in 2020,calculating urban population polycentricity,population dispersion indices,and carbon emission efficiency.Utilizing local spatial autocorrelation tools,we reveal interactions among urban population polycentricity,dispersion,carbon emissions,and carbon emission efficiency.We then employ a gradient boosting decision tree model(GBDT)to explore nonlinear and synergistic effects of polycentric urbanization.Key findings include:1)polycentric urbanization in Chinese cities exhibits significant spatial differentiation characteristics.The Polycentricity index is relatively high in economically developed eastern coastal regions with an overall low level,carbon emissions are concentrated in industrialized north-central cities and some Yangtze River Delta hubs,and carbon emission efficiency is the highest in the Yangtze River Delta while relatively low in Northeast China;there are significant spatially heterogeneous interaction characteristics among population polycentricity,population dispersion,carbon emissions,and carbon emission efficiency.2)Urban population polycentricity contributes 9.42%to total carbon emissions and 6.24%to carbon emission efficiency.3)The polycentricity index has a nonlinear impact on carbon emissions and carbon emission efficiency:no significant effect when below 0.50 or above 0.55,increased carbon emissions in 0.50-0.53,and reduced carbon emissions with improved efficiency in 0.53-0.55.4)The polycentricity index has an interaction effect with other variables;specifically,when the polycentricity index is between 0.53 and 0.55,its interaction with urban gross domestic product(GDP),urban population,urban built-up area,green coverage rate in built-up areas,urban technological expenditure,and the proportion of the output value of the secondary industry will reduce carbon emissions and improve carbon emission efficiency.These findings enhance the understanding of urban spatial structures and carbon emissions,providing valuable insights for policymakers in developing green and low-carbon strategies.展开更多
基金Supported by Special Funds for Basic Scientific Research of Central Public Welfare Research Institutes:201814006。
文摘Objective:This study aimed to explore the clinical effect of acupuncture therapy for menstruation regu-lation and pregnancy promotion on thin endometrium in the real world.Design:This study is a single-center pragmatic randomized controlled trial blinded to the statisticians.Using the“blockrand”software package,based on the age(≥35,<35),37 patients were randomized into an intervention group(19 cases)and a control group(18 cases).After reassignment regarding patient preference,21 patients were included in the intervention group and 16 in the control group.Setting:The trial was executed in the Specialty Outpatient Clinic,Acupuncture-Moxibustion Hospital of China Academy of Chinese Medical Sciences,from March 1,2019,to September 30,2020.Participants:The study included 37 patients with thin endometrium and without previous acupuncture treatment.Intervention:The intervention group was administered acupuncture for menstruation regulation and pregnancy promotion and a small-dose of progynova(2 mg daily),while the control group was adminis-tered a large-dose of progynova(4 mg daily).Interventions started from Day 5 of menstruation until the end of ovulation under B-ultrasound monitoring.The intervention lasted for three menstrual cycles.Measurements:Primary outcomes were changes in endometrial thickness between baseline and after intervention completion and the difference between the two groups after intervention.The secondary outcomes were endometrial and subendometrial blood flow,serum estradiol levels,menstrual conditions,and adverse reactions.Results:(1)Comparison of each indicator before and after intervention completion in the two groups:in the intervention group,the differences were significant in endometrial thickness,menstrual score,estra-diol(E2)level in ovulatory period,the pulsatility index(PI)and resistance index(RI)of uterine artery,the ratio of peak systolic velocity to end-diastolic velocity(S/D),the endometrial vascular index(VI),flow index(FI),and vascular flow index(VFI)and volume(P<0.01).In the control group,significant changes were observed in endometrial thickness,menstrual score,and E2 before and after the interven-tion(P<0.05),and no differences were observed in uterine artery PI,RI,S/D and endometrial VI,FI,VFI,and volume(P>0.05).Compared with the control group,the intervention group showed significant differences in endometrial thickness,menstrual score,E2,uterine artery PI,RI,S/D,and endometrial VI,FI,VFI,and volume after intervention(P<0.01).No adverse reactions were reported in the intervention group.In contrast,the control group had two cases of nausea and gastrointestinal discomfort after med-ication,eight cases of breast distention during medication,and one case of breast nodules enlarged by 1 cm after trial completion.
基金supported by the China Agriculture Research System(CARS-35-PIG)the National Natural Science Foundation of China(32272847,U22A20516)+1 种基金the National Key Research and Development Program of China(No.2021YFF1000602)the Key Research and Development Program of Shaanxi Province(No.2022ZDLNY01–04)。
文摘Background Increased backfat thickness of sows in early gestation is negative to reproductive performance.Endometrial receptivity is an important determinant of reproductive success,but it is unclear whether the effect of sow backfat thickness on litter size is associated with endometrial receptivity and whether melatonin treatment may have benefits.The present study seeks to answer these questions through in vitro and in vivo investigations.Results Excessive lipid deposition and lower melatonin levels in the uterus are detrimental to endometrial receptivity and embryo implantation in high backfat thickness sows.In cells treated with melatonin,the MT2/PI3K/LIF axis played a role in reducing lipid accumulation in porcine endometrial epithelium cells and improved endometrial receptivity.Furthermore,we found a reduction of lipids in the uterus after eight weeks of intraperitoneal administration of melatonin to HFD mice.Notably,melatonin treatment caused a significant reduction in the deposition of endometrial collagen,an increase in the number of glands,and repair of the pinopode structure,ultimately improving endometrial receptivity,promoting embryo implantation,and increasing the number of litter size of mice.Conclusions Collectively,the finding reveals the harmful effects of high backfat thickness sows on embryo implantation and highlight the role of melatonin and the MT2/PI3K/LIF axis in improving endometrial receptivity by enhancing metabolism and reducing the levels of uterine lipids in obese animals.
基金supported by the National Natural Science Foundation of China(GrantNo.12072231).
文摘Hypersonic boundary-layer receptivity to freestream entropy and vorticity waves is investigated using direct numerical simula-tions for a Mach 6 flow over a 5.08 mm nose radius cone.Two frequencies of 33 kHz and 150 kHz are considered to be rep-resentative of the first and second instability modes,respectively.For the first mode,wall pressure fluctuations for both entropy and vorticity wave cases exhibit a strong modulation yet without a growing trend,indicating that the first mode is not generated despite its instability predicted by linear stability theory.The potential reason for this is the absence of postshock slow acoustic waves capable of synchronizing with the first mode.By contrast,for the second mode,a typical three-stage boundary-layer response is observed,consistent with that to slow acoustic waves studied previously.Furthermore,the postshock disturbances outside the boundary layer can be decomposed into the entropy(density/temperature fluctuations)and vorticity components(ve-locity fluctuations),and the latter is shown to play a leading role in generating the second mode,even for the case with entropy waves where the density/temperature fluctuations dominate the postshock regions.
文摘Objective:To analyze the diagnostic value of transvaginal three-dimensional ultrasound(3D-TVS)in evaluating endometrial receptivity(ER)for ovulation disorder infertility(ODI),and to investigate the impact of subendometrial endometrial vascular index(VI)and endometrial vascular flow index(VFI)levels on ODI.Methods:A total of 110 patients diagnosed with ODI admitted between January 2023 and June 2024 were selected.All patients underwent ovulation induction therapy,3D-TVS examination,and sex hormone testing.Based on pregnancy outcomes,patients were divided into a successful pregnancy group(73 cases)and an unsuccessful pregnancy group(37 cases).ER parameters,sex hormone levels,and endometrial blood flow patterns were compared between the two groups.Receiver operating characteristic(ROC)curves were plotted to evaluate the predictive value of ER for ODI.Results:The spiral artery peak systolic velocity(PSV),endometrial volume(EMV),endometrial flow index(FI),and VFI in the successful pregnancy group were significantly higher than those in the unsuccessful pregnancy group(p<0.05).No significant differences were observed in other ER parameters between the two groups(p>0.05).There was no significant difference in sex hormone levels between the two groups on the day of human chorionic gonadotropin(hCG)treatment(p>0.05).Among the endometrial blood flow classifications in the pregnant group,the proportion of Type II was lower than that in the nonpregnant group(p<0.05).The Receiver Operating Characteristic(ROC)curve demonstrated that the area under the curve(AUC)for Endometrial Volume(EMV)in predicting pregnancy after Ovarian Dysfunction Infertility(ODI)treatment was 0.854,with a sensitivity of 92.61%and a specificity of 71.75%.The AUC for Vascularization Index(VI)was 0.771,with a sensitivity of 52.18%and a specificity of 88.70%.The AUC for Vascularization Flow Index(VFI)of the endometrium was 0.887,with a sensitivity of 80.01%and a specificity of 69.20%.Conclusion:Three-dimensional transvaginal sonography(3D-TVS)assessment of endometrial receptivity(ER)can effectively detect ODI,and the levels of subendometrial VI and VFI demonstrate superior predictive performance for pregnancy outcomes in this condition,serving as commonly used predictive indicators for the disease.
文摘Objective:To assess whether personalized embryo transfer guided by endometrial receptivity array(ERA)improves implantation and pregnancy rates in women with implantation failure.Methods:This retrospective case-control study was conducted on women with previous implantation failure.The women were divided into two groups,i.e,women who underwent ERA and those who underwent embryo transfer without ERA testing.ERA was performed using Igenomix.ERA results were interpreted as receptive or non-receptive.Women underwent frozen embryo transfer on the 6th day of progesterone(P+5).The primary outcomes were implantation rate,clinical pregnancy rate,abortion rate,and negative pregnancy rate.Results:This study included 229 women with previous implantation failure,with 154 in the ERA group and 75 in the no ERA group.The mean age of the women of the ERA group was(32.2±4.1)years,and that of the no ERA group was(31.5±4.8)years.Women in the ERA group had a higher implantation rate(60.4%)and clinical pregnancy rate(57.1%)compared to those in the no ERA group(48.0%and 46.7%,respectively).In addition,implantation rate of the nonreceptive ERA group was higher than the no ERA group(65%vs.48%),and clinical pregnancy rate was also higher in the non-receptive ERA group than the no ERA group(65%vs.47%).The abortion rate of the no ERA group was 9%and that of the non-receptive ERA group was 10%.52%no ERA group women and 35%non-receptive ERA group women had negative pregnancy results.Conclusions:Women who have undergone personalised embryo transfer guided by ERA have a higher clinical pregnancy rate than women who have not after previous implantation failure.
文摘BACKGROUND Despite advances in the use of in vitro fertilization-embryo transfer(ET)in couples with infertility,recurrent implantation failure(RIF)after ET is still a major problem affecting women,with great psychological and economic burdens for the patient and his/her family.AIM To investigate the psychological burden(anxiety and depression)and evaluate the clinical benefits of endometrial receptivity testing(ERT)in patients experiencing RIF following frozen-thawed ET.METHODS A retrospective cohort study analyzed 371 patients experiencing RIF after assisted reproductive treatment at the First People’s Hospital of Changde City between January 2021 and June 2024.Demographic and clinical data were systematically collected through standardized questionnaires.Psychological assessment utilized validated instruments:The Self-Rating Depression Scale for depression evaluation and the Self-Rating Anxiety Scale for anxiety assessment.Participants were stratified by psychological status(anxiety/non-anxiety and depression/nondepression)to analyze influencing factors for anxiety and depression.The cohort was further categorized into the ERT and non-ERT groups based on ERT implementation to comparatively analyze their clinical outcomes.Additionally,they were divided into clinical and nonclinical pregnancy groups to identify factors affecting clinical pregnancy using univariate and multivariate logistic regression models.Compared with the non-ERT group,the 226 patients who underwent ERT-guided ET achieved a higher clinical pregnancy rate,thicker endometrium on transfer day,fewer embryos transferred,and a lower miscarriage rate.RESULTS The study identified a substantial psychological burden,with anxiety prevalence at 55.0%(mean Self-Rating Anxiety Scale score,50.89±9.34)and depression at 61.2%(mean Self-Rating Depression Scale score,55.55±9.48).Multivariate analysis identified annual household income>100000 yuan as protective factors against both anxiety and depression,whereas advanced maternal age(>35 years)and multiple implantation failures(≥3)served as risk factors.Additionally,anxiety-specific risk factors included prolonged infertility treatment(>5 years)and the spouse’s status as an only child.As to depression-specific risks,chronic infertility(>3 years)and higher educational attainment(college/bachelor’s degree or higher)were key determinants,whereas urban residence was a protective factor.Age>35 years was a risk factor for clinical pregnancy in patients experiencing RIF,whereas blastocyst-stage ET,a higher number of embryos transferred,and thicker endometrium were protective factors.CONCLUSION Patients experiencing RIF are particularly susceptible to anxiety and depression,and advanced maternal age and multiple implantation failures represent salient risk factors.Clinicians should implement proactive and evidencebased interventions to mitigate these psychological burdens.For patients experiencing RIF,ERT-guided ET demonstrates significant potential to improve assisted reproductive outcomes.
基金Supported in part by Natural Science Foundation of Guangxi(2023GXNSFAA026246)in part by the Central Government's Guide to Local Science and Technology Development Fund(GuikeZY23055044)in part by the National Natural Science Foundation of China(62363003)。
文摘In this paper,we consider the maximal positive definite solution of the nonlinear matrix equation.By using the idea of Algorithm 2.1 in ZHANG(2013),a new inversion-free method with a stepsize parameter is proposed to obtain the maximal positive definite solution of nonlinear matrix equation X+A^(*)X|^(-α)A=Q with the case 0<α≤1.Based on this method,a new iterative algorithm is developed,and its convergence proof is given.Finally,two numerical examples are provided to show the effectiveness of the proposed method.
文摘This paper aims to explore and quantify the nonlinear vibration response of tri-directional functionally graded sandwich(3D-FGSW)plates partially supported by a Pasternak foundation(PF)subjected to blast loading(BL).A key objective is to develop a computationally efficient finite element framework capable of accurately capturing the complex behavior of 3D-FGSW plates.The studied configuration features a two-dimensional functionally graded material(2D-FGM)core between two threedimensional functionally graded material(3D-FGM)face layers.Nonlinear geometric effects,including mid-plane stretching,are modeled using von K arm an-type assumptions,and the governing equations are formulated via Hamilton's principle within an improved first-order shear deformation theory(iFSDT).The accuracy and computational efficiency of the proposed method are validated through comparison with existing benchmark solutions.Subsequently,a comprehensive parametric study is carried out to examine the effects of geometric dimensions,material properties,foundation sizes,and boundary conditions(BCs)on the nonlinear vibration of 3D-FGSW plates.The findings of this work are expected to provide valuable insights for the design and manufacturing of advanced sandwich structures subjected to BL.
基金National Natural Science Foundation of China(No.12071370)。
文摘The bipartite containment control problem for heterogeneous nonlinear multi-agent systems(HNMASs)within multi-group networks under signed digraphs is investigated,where the first-order and second-order nonlinear dynamic agents belong to distinct groups.Interactions are cooperative-antagonistic within each group and sign-in-degree balanced across the inter-groups.Firstly,a state feedback control protocol is designed to ensure that the trajectories of followers in diverse groups can converge to distinct convex hulls formed by their corresponding leaders,respectively.As an extension,the bipartite control problem with time-variant formation for the multi-agent system(MAS)is also considered,and a corresponding control protocol with formation compensation vectors is given.Finally,in view of Lyapunov stability theory and matrix inequality,the sufficient conditions for realizing the bipartite containment control are obtained,and several simulations are provided to verify the validity of the above methods.
基金Supported by the National Natural Science Foundation of China(Grant Nos.11961059,1210502)the University Innovation Project of Gansu Province(Grant No.2023B-062)the Gansu Province Basic Research Innovation Group Project(Grant No.23JRRA684).
文摘The goal of this paper is to investigate the long-time dynamics of solutions to a Kirchhoff type suspension bridge equation with nonlinear damping and memory term.For this problem we establish the well-posedness and existence of uniform attractor under some suitable assumptions on the nonlinear term g(u),the nonlinear damping f(u_(t))and the external force h(x,t).Specifically,the asymptotic compactness of the semigroup is verified by the energy reconstruction method.
基金supported by the Guangdong Basic and Applied Basic Research Foundation(2022A1515012138)the NSFC(12271436,12371119)supported by the Natural Science Basic Research Program of Shaanxi(2022JC-04).
文摘We investigate the constrained fractional Choquard equation■where m>0,N>2s with s∈(0,1)being the order of the fractional Laplacian operator and I_(α)forα∈(0,N)denotes the Riesz potential.The parameterμ∈ℝappears as a Lagrange multiplier.By imposing general mass-supercritical conditions on F,we confirm the existence of normalized solutions that characterize the global minimizer on the Pohozaev manifold.Our proof does not depend on the assumption that all weak solutions satisfy the Pohozaev identity,a challenge that remains unsolved for this doubly nonlocal equation.
基金supported by the Science Center Program of National Natural Science Foundation of China under Grant 62188101the National Natural Science Foundation of China under Grant 62573265.
文摘This study develops an event-triggered control strategy utilizing the fully actuated system approach for nonlinear interconnected large-scale systems containing actuator failures.First,to reduce the complexity of the design process,we transform the studied system into the form of a fully actuated system through a state transformation.Then,to address the unknown nonlinear functions and actuator fault parameters,we employ neural networks and adaptive estimation techniques,respectively.Moreover,to reduce the control cost and improve the control efficiency,we introduce event-triggered inputs into the control strategy.It is proved by the Lyapunov stability analysis that all signals of the closed-loop system are bounded and the output of system eventually converge to a bounded region.The efficacy of the control approach is ultimately demonstrated via the simulation of an actual machine feeding system.
基金Project supported by the National Natural Science Foundation of China(Nos.52575093 and 12202229)the China Postdoctoral Science Foundation(No.2025M771368)the Fundamental Research Funds for the Central Universities of China(Nos.buctrc202405 and JD2522)。
文摘Magnetorheological(MR)bearings,with their field-controllable rheological properties,offer new possibilities for control of rotor instabilities.However,their nonlinear dynamic behaviors and the underlying physical mechanisms governing these instabilities remain insufficiently understood.This work develops a coupled MR bearingrotor system model,where the oil film force is derived from a novel bilinear constitutive equation to capture the field-sensitive shear behaviors of MR fluids.Complex nonlinear dynamic behaviors including period doubling,quasi-period,and chaos are revealed,which emerge from the interaction between oil film vortex dynamics and magnetic excitation.The critical instability mechanism is identified from the evolution of intrinsic dynamic characteristics of MR bearings.When the whirl speed within the oil film reaches approximately half of the rotor speed,the damping force balances the destabilizing force,thereby defining a critical threshold beyond which the system transitions to instability.This threshold can be effectively tuned by adjusting the excitation current,which modifies the yield stress of MR fluids and consequently regulates the damping force.As a result,the nonlinear vibrations of oil whirl and whip can be suppressed,and the system stability can be significantly enhanced.These findings provide both theoretical insight and practical guidance for the design and control of MR bearing supported rotor systems.
基金The Natural Science Foundation of Xinjiang Uygur Autonomous Region of China“RBF-Hermite difference scheme for the time-fractional kdv-Burgers equation”(2024D01C43)。
文摘In this paper,we present a finite volume trigonometric weighted essentially non-oscillatory(TWENO)scheme to solve nonlinear degenerate parabolic equations that may exhibit non-smooth solutions.The present method is developed using the trigonometric scheme,which is based on zero,first,and second moments,and the direct discontinuous Galerkin(DDG)flux is used to discretize the diffusion term.Moreover,the DDG method directly applies the weak form of the parabolic equation to each computational cell,which can better capture the characteristics of the solution,especially the discontinuous solution.Meanwhile,the third-order TVD-Runge-Kutta method is applied for temporal discretization.Finally,the effectiveness and stability of the method constructed in this paper are evaluated through numerical tests.
基金supported by the National Natural Science Foundation of China (No.22275052)Department of Science and Technology of Hubei Province (Nos.2025AFA111 and 2024CSA076)。
文摘Achieving non-centrosymmetric(NCS) configurations in ABX3-type hybrid halides remains a critical challenge for nonlinear optical(NLO) materials due to the conflicting requirements of high second-harmonic generation(SHG) response,wide bandgap,and phase-matching capabilities.Herein,we propose a triplesite modulation strategy by synergistically tailoring the A-site cations(2-methylimidazole cation/1-ethyl-3-methylimidazole cation),B-site metals(Sn^(2+)/Pb^(2+)),and X-site halogens(Cl/Br),which effectively disrupts lattice symmetry and enables NCS crystallization.Our results demonstrate a strong SHG response,an expanded optical bandgap and increased birefringence.The optimized compound C_(6)H_(11)N_(2)PbCl_(3) exhibits a moderately strong SHG efficiency of 3.8 × KDP,a wide bandgap(3.87 eV),and enhanced birefringence(0.139@1064 nm),surpassing majority hybrid NLO materials.The innovative anionic framework introduced here broadens the scope of hybrid NLO crystals,facilitating the integration of various aromatic heterocyclic cations.This research provides a robust strategic framework for the development of advanced NLO materials.
基金financially supported by the National Natural Science Foundation of China(Nos.22341304,22303100 and 12205270)the National Key R&D Program of China(Nos.2023YFA1008800 and 2020YFA0713601)the Strategic Priority Research Program of the Chinese Academy of Sciences(No.XDC0180303)。
文摘The equilibrium dynamics and nonlinear rheology of unentangled polymer blends remain inadequately understood,especially regarding the influence of short-chain matrix length N_(S) on the structure and rheological behavior of dispersed long chains.Using molecular dynamics simulations based on the Kremer-Grest model,we systematically explore the N_(S)-dependence of static conformations,equilibrium dynamics,and nonlinear shear responses in unentangled long-chain/short-chain polymer blends.Our results demonstrate a decoupling between the static and dynamic sensitivity to N_(S):while the static chain size,R_g,follows Flory theory with slight swelling at small N_(S) due to incomplete excluded volume screening,the diffusion coefficient,D,and the relaxation time,τ_(0),exhibit a strong,non-monotonic N_(S)-dependence,transitioning from monomeric friction dominance at small N_(S) to collective segmental rearrangement at large N_(S).Additionally,we observe partial decoupling between the viscous and normal stress responses:while the zero-shear viscosity,η,is strongly N_(S)-dependent,the first and second normal stress coefficients,Ψ_(1) and Ψ_(2),collapse onto universal curves when scaled by the dimensionless shear rate,γτ_(0),suggesting a common mechanism of orientation and stretching.Under shear,long chains compress in the vorticity direction λ_(z)~Wi^(-0.2),which reduces collision frequency and contributes to shear thinning,while the scaling of weaker orientation resistance m_(G)~Wi^(0.35)reflects hydrodynamic screening by the short-chain matrix.These findings highlight the limitations of single-chain models and emphasize the necessity of considering N_(S)-dependent matrix dynamics and flow-induced structural changes in understanding the rheology of unentangled polymer blends.
基金supported in part by the National Science and Technology Council under Grant NSTC 114-2221-E-027-104.
文摘Trajectory tracking for nonlinear robotic systems remains a fundamental yet challenging problem in control engineering,particularly when both precision and efficiency must be ensured.Conventional control methods are often effective for stabilization but may not directly optimize long-term performance.To address this limitation,this study develops an integrated framework that combines optimal control principles with reinforcement learning for a single-link robotic manipulator.The proposed scheme adopts an actor–critic structure,where the critic network approximates the value function associated with the Hamilton–Jacobi–Bellman equation,and the actor network generates near-optimal control signals in real time.This dual adaptation enables the controller to refine its policy online without explicit system knowledge.Stability of the closed-loop system is analyzed through Lyapunov theory,ensuring boundedness of the tracking error.Numerical simulations on the single-link manipulator demonstrate that themethod achieves accurate trajectory followingwhile maintaining lowcontrol effort.The results further showthat the actor–critic learning mechanism accelerates convergence of the control policy compared with conventional optimization-based strategies.This work highlights the potential of reinforcement learning integrated with optimal control for robotic manipulators and provides a foundation for future extensions to more complex multi-degree-of-freedom systems.The proposed controller is further validated in a physics-based virtual Gazebo environment,demonstrating stable adaptation and real-time feasibility.
基金supported by the Natural Science Foundation of Shandong Province(Grant No.ZR2025QC30)。
文摘We investigate the alpha helical protein structure characterized by fourth-order interspine coupling,focusing on a three-coupled fourth-order nonlinear Schr??dinger system.We introduce a generalized Darboux transformation,departing from the classical Darboux transformation.Based on this,we construct the two-and three-degenerate soliton solutions and four-degenerate asymptotic soliton solutions.Based on the asymptotic analysis,we find that the amplitudes of interacting solitons are retained upon the interactions.Elastic interactions between two degenerate solitons exhibiting four curve-type asymptotic solitons are depicted.When the lattice parameterβchanges,the velocities of the two degenerate solitons also change.Elastic interaction among three degenerate solitons comprising four curve-type asymptotic solitons and two line-type solitons is presented.Interaction among one soliton and two degenerate solitons with different velocities is shown.Elastic interaction among four degenerate solitons comprising eight curve-type asymptotic solitons is also presented.Interaction among two two-degenerate solitons with two spectral parameters is shown.The relative distance between two asymptotic solitons exhibits logarithmic growth with|t|,where t represents the retarded time.Acceleration of soliton separation decays exponentially with relative distance,and eventually approaches zero.Phase shifts depend on t.
基金the UGC,New Delhi,India for financial assistance via the UGC-Junior Research Fellowship(CSIR-UGC NET JULY 2024)(Student ID:241610090610)。
文摘The flow of a tetra-hybrid Casson nanofluid(Al_(2)O_(3)-CuO-TiO_(2)-Ag/H_(2)O)over a nonlinear stretching sheet is investigated.The Buongiorno model is used to account for thermophoresis and Brownian motion,while thermal radiation is incorporated to examine its influence on the thermal boundary layer.The governing partial differential equations(PDEs)are reduced to a system of nonlinear ordinary differential equations(ODEs)with fully non-dimensional similarity transformations involving all independent variables.To solve the obtained highly nonlinear system of differential equations,a novel Clique polynomial collocation method is applied.The analysis focuses on the effects of the Casson parameter,power index,radiation parameter,thermophoresis parameter,Brownian motion parameter,and Lewis number.The key findings show that thermal radiation intensifies the thermal boundary layer,the Casson parameter reduces the velocity,and the Lewis number suppresses the concentration with direct relevance to polymer processing,coating flows,electronic cooling,and biomedical applications.
基金Under the auspices of National Natural Science Foundation of China(No.42571300)。
文摘Transforming urban spatial structures to promote green and low-carbon development is an effective strategy.Although prior studies have examined the impact of urban polycentricity on carbon emissions and economic development,research on its role in the synergistic relationship between these factors regarding carbon emission efficiency is limited.Furthermore,existing literature often overlooks nonlinear effects and interactions with other urban variables.This paper analyzed data from 295 Chinese cities in 2020,calculating urban population polycentricity,population dispersion indices,and carbon emission efficiency.Utilizing local spatial autocorrelation tools,we reveal interactions among urban population polycentricity,dispersion,carbon emissions,and carbon emission efficiency.We then employ a gradient boosting decision tree model(GBDT)to explore nonlinear and synergistic effects of polycentric urbanization.Key findings include:1)polycentric urbanization in Chinese cities exhibits significant spatial differentiation characteristics.The Polycentricity index is relatively high in economically developed eastern coastal regions with an overall low level,carbon emissions are concentrated in industrialized north-central cities and some Yangtze River Delta hubs,and carbon emission efficiency is the highest in the Yangtze River Delta while relatively low in Northeast China;there are significant spatially heterogeneous interaction characteristics among population polycentricity,population dispersion,carbon emissions,and carbon emission efficiency.2)Urban population polycentricity contributes 9.42%to total carbon emissions and 6.24%to carbon emission efficiency.3)The polycentricity index has a nonlinear impact on carbon emissions and carbon emission efficiency:no significant effect when below 0.50 or above 0.55,increased carbon emissions in 0.50-0.53,and reduced carbon emissions with improved efficiency in 0.53-0.55.4)The polycentricity index has an interaction effect with other variables;specifically,when the polycentricity index is between 0.53 and 0.55,its interaction with urban gross domestic product(GDP),urban population,urban built-up area,green coverage rate in built-up areas,urban technological expenditure,and the proportion of the output value of the secondary industry will reduce carbon emissions and improve carbon emission efficiency.These findings enhance the understanding of urban spatial structures and carbon emissions,providing valuable insights for policymakers in developing green and low-carbon strategies.
