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Recent development in radical cycloaddition reactions for the synthesis of carbo-and heterocycles
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作者 Saima Perveen Lulu Qin +4 位作者 Min Zhao Zhengwei Ding Yingying Wang Zaicheng Nie Pengfei Li 《Chinese Chemical Letters》 2026年第1期57-91,共35页
Radical cycloaddition reactions(RCRs) are highly effective methods for constructing complex carbo-and heterocycles,which are frequently encountered in natural products that exhibit intriguing biological properties and... Radical cycloaddition reactions(RCRs) are highly effective methods for constructing complex carbo-and heterocycles,which are frequently encountered in natural products that exhibit intriguing biological properties and hold significant potential for applications in medicinal chemistry.Radical-mediated cycloaddition strategies,which recycle radical character,are particularly appealing because they require only a catalytic amount of reagent and promise reactions with theoretically high atom economy.This review focuses on recent developments and synthetic applications in RCRs,with an emphasis on visible lightinduced radical photocycloaddition reactions(RPCRs),transition metal-catalyzed approaches,and small molecule-catalyzed methods.By highlighting some outstanding innovations and addressing current challenges,this review aims to identify potential areas for improvement.These advancements will provide more efficient pathways for the synthesis of natural product molecules and offer valuable insights for the development of new synthetic methodologies. 展开更多
关键词 Radical cycloaddition Carbo-and heterocycle Visible-light photoaddition Transition metal catalysis Organic small molecule
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Palladium-catalyzed enantioselective [2σ+2π] cycloadditions of vinyl-carbonyl-bicyclo[1.1.0] butanes with arylidenemalononitriles
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作者 Tianzhu Qin Weiwei Zi 《Chinese Chemical Letters》 2026年第1期247-252,共6页
Bicyclo[2.1.1]hexanes(BCHs) are structurally unique C(sp^(3))-rich bicyclic hydrocarbons that are gaining prominence in the field of medicinal chemistry as bioisosteres of benzenoids.The nitrile is an important functi... Bicyclo[2.1.1]hexanes(BCHs) are structurally unique C(sp^(3))-rich bicyclic hydrocarbons that are gaining prominence in the field of medicinal chemistry as bioisosteres of benzenoids.The nitrile is an important functionality in drug development due to its ability to improve physicochemical and pharmacokinetic properties and facilitate potential noncovalent interactions with drug targets.Consequently,cyanoarene motifs are commonly found in drug development.The introduction of cyano-BCHs as potential bioisosteres of cyano-arenes shows great promise;however,there are currently no catalytic methods available for their synthesis.Herein,we report a palladium-catalyzed enantioselective [2σ+2π] cycloadditions of bicyclo[1.1.0]butanes with arylidenemalononitriles for the preparation of chiral cyano-BCHs.This method accommodated a wide range of substrates and tolerated various functional groups.The cyano-BCH products could be transformed to molecules with diverse functionality.Control experiments suggest that the reaction proceeds via a zwitterionic intermediate generated by palladium-mediated ring opening of vinyl-carbonyl bicyclo[1.1.0]butanes followed by stereoselective 1,2-addition and intramolecular allylic substitution reactions. 展开更多
关键词 BIOISOSTERES Bicyclo[2.1.1]hexanes Bicyclo[1.1.0]butanes cycloadditionS Palladium catalysis
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Optimal Synchronization of Higher-Order Dynamical Networks 被引量:1
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作者 Guanrong CHEN 《Artificial Intelligence Science and Engineering》 2025年第1期31-36,共6页
This article briefly reviews the topic of complex network synchronization,with its graph-theoretic criterion,showing that the homogeneous and symmetrical network structures are essential for optimal synchronization.Fu... This article briefly reviews the topic of complex network synchronization,with its graph-theoretic criterion,showing that the homogeneous and symmetrical network structures are essential for optimal synchronization.Furthermore,it briefly reviews the notion of higher-order network topologies and shows their promising potential in application to evaluating the optimality of network synchronizability. 展开更多
关键词 complex network SYNCHRONIZATION optimal synchronizability SIMPLEX higher-order topology
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High-throughput screening of CO_(2) cycloaddition MOF catalyst with an explainable machine learning model
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作者 Xuefeng Bai Yi Li +3 位作者 Yabo Xie Qiancheng Chen Xin Zhang Jian-Rong Li 《Green Energy & Environment》 SCIE EI CAS 2025年第1期132-138,共7页
The high porosity and tunable chemical functionality of metal-organic frameworks(MOFs)make it a promising catalyst design platform.High-throughput screening of catalytic performance is feasible since the large MOF str... The high porosity and tunable chemical functionality of metal-organic frameworks(MOFs)make it a promising catalyst design platform.High-throughput screening of catalytic performance is feasible since the large MOF structure database is available.In this study,we report a machine learning model for high-throughput screening of MOF catalysts for the CO_(2) cycloaddition reaction.The descriptors for model training were judiciously chosen according to the reaction mechanism,which leads to high accuracy up to 97%for the 75%quantile of the training set as the classification criterion.The feature contribution was further evaluated with SHAP and PDP analysis to provide a certain physical understanding.12,415 hypothetical MOF structures and 100 reported MOFs were evaluated under 100℃ and 1 bar within one day using the model,and 239 potentially efficient catalysts were discovered.Among them,MOF-76(Y)achieved the top performance experimentally among reported MOFs,in good agreement with the prediction. 展开更多
关键词 Metal-organic frameworks High-throughput screening Machine learning Explainable model CO_(2)cycloaddition
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Silver/Ganphos-Catalyzed Enantioselective[3+2]Cycloadditions of Azomethine Ylides:Access to the Spirocyclic Scaffolds
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作者 Xu Mengya LiYifan +2 位作者 Wang Yue Han Ruiping Li Er-Qing 《有机化学》 北大核心 2025年第9期3458-3468,共11页
A Silver-catalyzed enantioselective[3+2]cycloaddition of azomethine ylides with activated alkenes by using a P-stereogenic ligand Ganphos is reported.The method provides an efficient strategy for the effective synthes... A Silver-catalyzed enantioselective[3+2]cycloaddition of azomethine ylides with activated alkenes by using a P-stereogenic ligand Ganphos is reported.The method provides an efficient strategy for the effective synthesis of spirocyclic scaffolds containing a pyrroline motif.Notable features of this approach include good yields,remarkable enantioselectivity,as well as a broad substrate scope and significant step efficiency. 展开更多
关键词 cycloaddition silver catalysis Ganphos PYRROLINE
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N-Heterocyclic Carbene-Catalyzed [4+2] Cycloaddition of Salicylaldehydes with Pyrazole-4,5-diones for the Synthesis of Spiroketal-Pyrazolones
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作者 Wang Xiaomei Liu Yan +1 位作者 Li Shiwu Zhao Zhifei 《有机化学》 北大核心 2025年第1期267-275,共9页
The first efficiently N-heterocyclic carbene-catalyzed[4+2]cycloaddition of salicylaldehydes and pyrazole-4,5-diones to directly synthesis of spiro-ketal-pyrazolones bearing both oxygens of the ketal unit in the same ... The first efficiently N-heterocyclic carbene-catalyzed[4+2]cycloaddition of salicylaldehydes and pyrazole-4,5-diones to directly synthesis of spiro-ketal-pyrazolones bearing both oxygens of the ketal unit in the same ring was disclosed.This reaction was qualified with broad substrate scope,achieving moderate to excellent yield(up to 98%).This method has mild reaction conditions and simple operation,providing a new attractive strategy for the practical syntheses of multifunctionalized spiroketals including pyrazolone structures with mild reaction condition and operational simplicity.Furthermore,the gram scale and derivative transformations have also been achieved. 展开更多
关键词 N-heterocyclic carbene cycloaddition salicylaldehyde pyrazole-4 5-dione spiro-ketal-pyrazolone
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Synthesis of Difluorocyclopropanes via a Photoinduced[1+2]Cycloaddition of Diazo Esters with gem-Difluoroalkenes
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作者 Mu Xiaonan Guan Minhui +3 位作者 Niu Yulong Chen Hao Li Chuanying Wang Lei 《有机化学》 北大核心 2025年第1期256-266,共11页
A visible-light-promoted[1+2]cycloaddition of gem-difluoroalkenes with aryl diazo esters provides an efficient and important route to 1,1-difluorocyclopropanes.The reaction conditions are mild,and the operation is ver... A visible-light-promoted[1+2]cycloaddition of gem-difluoroalkenes with aryl diazo esters provides an efficient and important route to 1,1-difluorocyclopropanes.The reaction conditions are mild,and the operation is very simple.A number of diazo esters and gem-difluoroalkenes are suitable for this reaction(36 examples),providing the desired products in good yields with excellent diastereoselectivity(>20∶1). 展开更多
关键词 organic photochemistry gem-difluoroalkenes diazo esters [1+2]cycloaddition 1 1-difluorocyclopropanes
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A New Technique for Constructing Higher-order Iterative Methods to Solve Nonlinear Systems
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作者 XIAO Xiaoyong 《应用数学》 北大核心 2025年第3期762-774,共13页
In this paper,a new technique is introduced to construct higher-order iterative methods for solving nonlinear systems.The order of convergence of some iterative methods can be improved by three at the cost of introduc... In this paper,a new technique is introduced to construct higher-order iterative methods for solving nonlinear systems.The order of convergence of some iterative methods can be improved by three at the cost of introducing only one additional evaluation of the function in each step.Furthermore,some new efficient methods with a higher-order of convergence are obtained by using only a single matrix inversion in each iteration.Analyses of convergence properties and computational efficiency of these new methods are made and testified by several numerical problems.By comparison,the new schemes are more efficient than the corresponding existing ones,particularly for large problem sizes. 展开更多
关键词 Systems of nonlinear equation Order of convergence higher-order method Extended Newton iteration Computational efficiency
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Application of metal⁃organic frameworks(MOFs)in photocatalytic CO_(2)cycloaddition reaction:A mini review
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作者 CHENG Ruolin WANG Yue +2 位作者 YANG Fei LIANG Huagen LU Shijian 《无机化学学报》 北大核心 2025年第12期2429-2440,共12页
Photocatalytic CO_(2)cycloaddition reaction presents a promising CO_(2)conversion strategy to establish carbon neutrality.Among emerging catalysts,metal‑organic frameworks(MOFs)have been regarded as paradigmshifting p... Photocatalytic CO_(2)cycloaddition reaction presents a promising CO_(2)conversion strategy to establish carbon neutrality.Among emerging catalysts,metal‑organic frameworks(MOFs)have been regarded as paradigmshifting photocatalysts for their atomic precision in active site engineering,controllable porosity,and exceptional photochemical stability under ambient conditions.However,inherent limitations persist in conventional MOFs,including restricted solar spectrum utilization,inefficient charge carrier separation,and inadequate epoxide activation ability.Recent breakthroughs address these challenges through multiple strategies:ligand engineering,dopant incorporation,and composite construction.This review systematically maps the evolutionary trajectory of MOF‑based photocatalysts,providing mechanistic insights into structure‑activity relationships and providing insights and directions for the design of high‑performance MOF‑based photocatalysts. 展开更多
关键词 CO_(2)cycloaddition PHOTOCATALYSIS metal‑organic frameworks performance optimization synergistic effect
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Higher-order optimality conditions for multiobjective optimization through a new type of directional derivatives
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作者 HUANG Zheng-gang 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第3期543-557,共15页
This paper deals with extensions of higher-order optimality conditions for scalar optimization to multiobjective optimization.A type of directional derivatives for a multiobjective function is proposed,and with this n... This paper deals with extensions of higher-order optimality conditions for scalar optimization to multiobjective optimization.A type of directional derivatives for a multiobjective function is proposed,and with this notion characterizations of strict local minima of order k for a multiobjective optimization problem with a nonempty set constraint are established,generalizing the corresponding scalar case obtained by Studniarski[3].Also necessary not sufficient and sufficient not necessary optimality conditions for this minima are derived based on our directional derivatives,which are generalizations of some existing scalar results and equivalent to some existing multiobjective ones.Many examples are given to illustrate them there. 展开更多
关键词 strict local minima of order k multiobjective optimization higher-order optimality conditions higher-order directional derivatives
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Explosive information spreading in higher-order networks:Effect of social reinforcement
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作者 Yu Zhou Yingpeng Liu +4 位作者 Liang Yuan Youhao Zhuo Kesheng Xu Jiao Wu Muhua Zheng 《Chinese Physics B》 2025年第3期196-202,共7页
Information spreading has been investigated for many years,but the mechanism of why the information explosively catches on overnight is still under debate.This explosive spreading phenomenon was usually considered dri... Information spreading has been investigated for many years,but the mechanism of why the information explosively catches on overnight is still under debate.This explosive spreading phenomenon was usually considered driven separately by social reinforcement or higher-order interactions.However,due to the limitations of empirical data and theoretical analysis,how the higher-order network structure affects the explosive information spreading under the role of social reinforcement has not been fully explored.In this work,we propose an information-spreading model by considering the social reinforcement in real and synthetic higher-order networks,describable as hypergraphs.Depending on the average group size(hyperedge cardinality)and node membership(hyperdegree),we observe two different spreading behaviors:(i)The spreading progress is not sensitive to social reinforcement,resulting in the information localized in a small part of nodes;(ii)a strong social reinforcement will promote the large-scale spread of information and induce an explosive transition.Moreover,a large average group size and membership would be beneficial to the appearance of the explosive transition.Further,we display that the heterogeneity of the node membership and group size distributions benefit the information spreading.Finally,we extend the group-based approximate master equations to verify the simulation results.Our findings may help us to comprehend the rapidly information-spreading phenomenon in modern society. 展开更多
关键词 explosive information spreading social reinforcement higher-order interactions complex network
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Enantioselective regulation to coronal polyheterocyclic compounds via phosphonium salt-catalyzed cycloadditions of azomethine imines with γ-butenolides
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作者 Jun Liu Zhaoyu Feng +4 位作者 Renming Pan Xiaolong Yu Meijuan Zhou Gang Zhao Hongyu Wang 《Chinese Chemical Letters》 2025年第8期283-289,共7页
Pyrazolidinones,as significant analogs ofβ-lactam antibiotics,have garnered substantial interest for their enantioselective synthesis.Azomethine imines,recognized as valuable building blocks for the construction of t... Pyrazolidinones,as significant analogs ofβ-lactam antibiotics,have garnered substantial interest for their enantioselective synthesis.Azomethine imines,recognized as valuable building blocks for the construction of these nitrogen-containing compounds,underscore the continuous pursuit of novel building blocks and reaction methodologies within the chemical community.In this paper,we present a cascade cyclization between alkenyl azomethine imines and furan-2(5H)-one to generate chiral coronal polyheterocyclic compounds with high yields and enantioselectivities,catalyzed by dipeptide-derived phosphonium salts.In-vitro biological activity assays highlight the potential of these chiral compounds in drug discovery.Additionally,density functional theory(DFT)calculations elucidate the pivotal role of phosphonium salts,demonstrating their cooperative activations via hydrogen bonding and ion-pairing interactions. 展开更多
关键词 Asymmetric catalysis Polyheterocycle Peptide-phosphonium salt cycloaddition Alkenyl azomethine imine
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Corneal higher-order aberrations following small incision lenticule extraction for high myopic astigmatism correction
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作者 Yin Liu Cheng Hu +3 位作者 Juan Yu Nian Xiang Bo Zeng Wen-Shan Jiang 《International Journal of Ophthalmology(English edition)》 2025年第7期1349-1356,共8页
AIM:To compare the visual outcomes and corneal higherorder aberrations(HOAs)of patients with high or low myopic astigmatism after small incision lenticule extraction(SMILE).METHODS:A total of 157 eyes of 157 patients ... AIM:To compare the visual outcomes and corneal higherorder aberrations(HOAs)of patients with high or low myopic astigmatism after small incision lenticule extraction(SMILE).METHODS:A total of 157 eyes of 157 patients who underwent SMILE were included in this retrospective,nonrandomized,comparative study.All the eyes which were with the rule astigmatism were divided into high astigmatism group(HAG;astigmatism≤-2.00 D,73 eyes)and low astigmatism group(LAG;astigmatism≥-1.00 D,84 eyes).Visual and refractive examinations were performed,HOAs of the anterior surface,posterior surface,and total cornea of the eyes were evaluated preoperatively and 6mo postoperatively.RESULTS:At the postoperative 6-month follow-up,uncorrected distance visual acuity of 20/20 or better was achieved in 97%and 100%eyes in HAG and LAG respectively and 74%and 100%eyes were within-0.50 D.Vector analysis revealed no significant differences in the correction index(P=0.066),angle of error(P=0.091)or flattening index(P=0.987)between two groups.The magnitude of error was-0.37±0.31 D in HAG and-0.04±0.19 D in LAG(P<0.001).Index of success(IOS)was 0.22±0.09 in the HAG and 0.50±0.46 in the LAG(P<0.001).HOAs of most anterior,posterior and total cornea significantly increased after SMILE,especially the spherical aberration and coma.For HAG,the SMILE procedure induced significantly higher anterior,posterior and total cornea horizontal coma and total corneal total HOAs compared with LAG(P<0.001)and these surgically induced HOAs predominantly originated from the anterior surface of the cornea.CONCLUSION:SMILE surgery induces more HOAs and a mild under-correction of astigmatism in eyes with high astigmatism.The increment in HOAs after SMILE is related to preoperative astigmatism. 展开更多
关键词 small incision lenticule extraction high astigmatism higher-order aberrations MYOPIA
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Development and verification of the higher-order mode neutron flux calculation code HARMONY2.0
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作者 Er-Pin Zhang Zi-Ning Ni +3 位作者 Nian-Biao Deng Jin-Sen Xie Yong Liu Tao Yu 《Nuclear Science and Techniques》 2025年第1期207-225,共19页
Higher-order modes of the neutron diffusion/transport equation can be used to study the temporal behavior of nuclear reactors and can be applied in modal analysis, transient analysis, and online monitoring of the reac... Higher-order modes of the neutron diffusion/transport equation can be used to study the temporal behavior of nuclear reactors and can be applied in modal analysis, transient analysis, and online monitoring of the reactor core. Both the deterministic method and the Monte Carlo(MC) method can be used to solve the higher-order modes. However, MC method, compared to the deterministic method, faces challenges in terms of computational efficiency and α mode calculation stability, whereas the deterministic method encounters issues arising from homogenization-related geometric and energy spectra adaptation.Based on the higher-order mode diffusion calculation code HARMONY, we developed a new higher-order mode calculation code, HARMONY2.0, which retains the functionality of computing λ and α higher-order modes from HARMONY1.0, but enhances the ability to treat complex geometries and arbitrary energy spectra using the MC-deterministic hybrid two-step strategy. In HARMONY2.0, the mesh homogenized multigroup constants were obtained using OpenMC in the first step,and higher-order modes were then calculated with the mesh homogenized core diffusion model using the implicitly restarted Arnoldi method(IRAM), which was also adopted in the HARMONY1.0 code. In addition, to improve the calculation efficiency, particularly in large higher-order modes, event-driven parallelization/domain decomposition methods are embedded in the HARMONY2.0 code to accelerate the inner iteration of λ∕α mode using OpenMP. Furthermore, the higher-order modes of complex geometric models, such as Hoogenboom and ATR reactors for λ mode and the MUSE-4 experiment facility for the prompt α mode, were computed using diffusion theory. 展开更多
关键词 Neutron diffusion equation higher-order modes Global homogenization Two-step method DOMAIN
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Well-Posedness and Asymptotic Behavior of a Higher-Order Kirchhoff Equation
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作者 ZHANG Liao LI Feng-jie 《Chinese Quarterly Journal of Mathematics》 2025年第4期417-440,共24页
This paper focuses on the investigation of a hyperbolic Kirchhoff equation with nonlinear damping and higher-order dissipation terms.Initially,the existence and uniqueness of local weak solutions are rigorously establ... This paper focuses on the investigation of a hyperbolic Kirchhoff equation with nonlinear damping and higher-order dissipation terms.Initially,the existence and uniqueness of local weak solutions are rigorously established.Next,within the framework of potential well theory,the classification of solution behaviors,including blow-up and global existence,is systematically analyzed according to the relationships among the exponents of nonlinear source terms.Finally,explicit bounds for the blow-up time and decay estimates for global solutions are presented. 展开更多
关键词 higher-order dissipation Kirchhoff equation BLOW-UP Blow-up time Decay estimate
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Riemann-Hilbert approach to the higher-order Kaup-Newell equation on the half line
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作者 Hui Yu Ning Zhang 《Chinese Physics B》 2025年第3期231-243,共13页
The higher-order Kaup-Newell equation is examined by applying the Fokas unified method on the half-line.We demonstrate that the solution can be expressed in relation to the resolution of the Riemann-Hilbert problem.Th... The higher-order Kaup-Newell equation is examined by applying the Fokas unified method on the half-line.We demonstrate that the solution can be expressed in relation to the resolution of the Riemann-Hilbert problem.The jump matrix for this problem is derived from the spectral matrix,which is calculated based on both the initial conditions and the boundary conditions.The jump matrix is explicitly dependent and expressed through the spectral functions,which are derived from the initial and boundary information,respectively.These spectral functions are interdependent and adhere to a so-called global relationship. 展开更多
关键词 higher-order Kaup-Newell equation Fokas unified method Riemann-Hilbert problem
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Exact boundary controllability for the periodic higher-order KdV type equations
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作者 JIN Yanpeng FU Ying 《纯粹数学与应用数学》 2025年第3期413-421,共9页
In this paper,the exact boundary controllability of the higher-order KdVtype equation on torus is studied.That is,given the initial and final states in the appropriate space,by adding the appropriate control function ... In this paper,the exact boundary controllability of the higher-order KdVtype equation on torus is studied.That is,given the initial and final states in the appropriate space,by adding the appropriate control function on the boundary,the solution of the system can transition from the initial state to the specified final value.Firstly,we establish the observability inequality for the higher-order KdV-type equation by Ingham inequality.Then,based on the observability inequality,Hilbert uniqueness method and a integral identity we obtain the exact boundary controllability of the higher-order KdV-type equation. 展开更多
关键词 higher-order KdV equation OBSERVABILITY exact boundary controllability
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Three-step synthesis of flavanostilbenes with a 2-cyclohepten-1-one core by Cu-mediated[5+2]cycloaddition/decarboxylation cascade
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作者 Gangsheng Li Xiang Yuan +7 位作者 Fu Liu Zhihua Liu Xujie Wang Yuanyuan Liu Yanmin Chen Tingting Wang Yanan Yang Peicheng Zhang 《Chinese Chemical Letters》 2025年第2期350-355,共6页
The first synthesis of flavanostilbenes with a 2-cyclohepten-1-one core was carried out by applying an effective strategy in three steps from abundant polymerized flavanol resources.A key regio-and stereoselective Cu-... The first synthesis of flavanostilbenes with a 2-cyclohepten-1-one core was carried out by applying an effective strategy in three steps from abundant polymerized flavanol resources.A key regio-and stereoselective Cu-mediated[5+2]cycloaddition/decarboxylation cascade was explored and applied without the use of protecting groups,and water as an environmentally friendly solvent contributed to the cascade.The intramolecular[5+2]cycloaddition mechanism,involving oxidation and dearomatization of the flavanol unit as a diene,was proposed and supported by the synthesis of the intermediate.The regioselectivity of the cyclization was found to be dependent on the substitution effects of the stilbene units by the exploration of substrate scope. 展开更多
关键词 [5+2]cycloaddition Biomimetic synthesis Copper Natural products SUBSTRATE
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Symmetry of traveling wave solutions for a Camassa–Holm type equation with higher-order nonlinearity
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作者 Wenguang Cheng Ji Lin 《Communications in Theoretical Physics》 2025年第7期14-18,共5页
We are concerned with a Camassa-Holm type equation with higher-order nonlinearity including some integrable peakon models such as the Camassa-Holm equation,the Degasperis-Procesi equation,and the Novikov equation.We s... We are concerned with a Camassa-Holm type equation with higher-order nonlinearity including some integrable peakon models such as the Camassa-Holm equation,the Degasperis-Procesi equation,and the Novikov equation.We show that all the horizontal symmetric waves for this equation must be traveling waves.This extends the previous results for the Camassa-Holm and Novikov equations. 展开更多
关键词 Camassa-Holm type equation with higher-order nonlinearity traveling waves weak solutions
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Higher-order topology in twisted multilayer systems:A review
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作者 Chunbo Hua Dong-Hui Xu 《Chinese Physics B》 2025年第3期2-10,共9页
In recent years,there has been a surge of interest in higher-order topological phases(HOTPs)across various disciplines within the field of physics.These unique phases are characterized by their ability to harbor topol... In recent years,there has been a surge of interest in higher-order topological phases(HOTPs)across various disciplines within the field of physics.These unique phases are characterized by their ability to harbor topological protected boundary states at lower-dimensional boundaries,a distinguishing feature that sets them apart from conventional topological phases and is attributed to the higher-order bulk-boundary correspondence.Two-dimensional(2D)twisted systems offer an optimal platform for investigating HOTPs,owing to their strong controllability and experimental feasibility.Here,we provide a comprehensive overview of the latest research advancements on HOTPs in 2D twisted multilayer systems.We will mainly review the HOTPs in electronic,magnonic,acoustic,photonic and mechanical twisted systems,and finally provide a perspective of this topic. 展开更多
关键词 higher-order topology twisted multilayer systems van der Waals materials corner states
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