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A new four-dimensional hyperchaotic Chen system and its generalized synchronization 被引量:7
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作者 贾立新 戴浩 惠萌 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第10期125-135,共11页
Based on the Chen chaotic system, a new four-dimensional hyperchaotic Chen system is constructed, and the basic dynamic behaviours of the system were studied, and the generalized synchronization has been observed in t... Based on the Chen chaotic system, a new four-dimensional hyperchaotic Chen system is constructed, and the basic dynamic behaviours of the system were studied, and the generalized synchronization has been observed in the coupled four-dimensional hyperchaotic Chen system with unknown parameters. The Routh Hurwitz theorem is used to derive the conditions of stability of this system. Furthermore based on Lyapunov stability theory, the control laws and adaptive laws of parameters are obtained to make generalized synchronization of the coupled new four-dimensional hyperchaotic Chen systems. Numerical simulation results are presented to illustrate the effectiveness of this method. 展开更多
关键词 hyperchaotic chen system generalized synchronization Lyapunov stability theory
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Passive control and synchronization of hyperchaotic Chen system 被引量:2
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作者 张群娇 陆君安 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第2期492-497,共6页
This paper investigates the control and synchronization of hyperchaotic Chen system based on the passive theory. By using two outputs, novel passive controllers are respectively designed to realize the globally asympt... This paper investigates the control and synchronization of hyperchaotic Chen system based on the passive theory. By using two outputs, novel passive controllers are respectively designed to realize the globally asymptotical stability of the hyperchaotic Chen system and the error dynamical system, which avoids mistakes in Ref.[11], where function W(z) cannot guarantee that fo(z) is globally asymptotically stable via only one output and W(z) is the Lyapunov function of f0(z). Furthermore, numerical simulations are given to show the effectiveness of our method. 展开更多
关键词 hyperchaotic chen system passive control STABILITY SYNCHRONIZATION
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Chaos synchronization between two different 4D hyperchaotic Chen systems 被引量:2
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作者 刘扬正 姜长生 +1 位作者 林长圣 蒋耀妹 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第3期660-665,共6页
This paper presents chaos synchronization between two different four-dimensional (4D) hyperchaotic Chen systems by nonlinear feedback control laws. A modified 4D hyperchaotic Chen system is obtained by changing the ... This paper presents chaos synchronization between two different four-dimensional (4D) hyperchaotic Chen systems by nonlinear feedback control laws. A modified 4D hyperchaotic Chen system is obtained by changing the nonlinear function of the 4D hyperchaotic Chen system, furthermore, an electronic circuit to realize two different 4D hyperchaotic Chen systems is designed. With nonlinear feedback control method, chaos synchronization between two different 4D hyperchaotic Chen systems is achieved. Based on the stability theory~ the functions of the nonlinear feedback control for synchronization of two different 4D hyperchaotic Chen systems is derived, the range of feedback gains is determined. Numerical simulations are shown to verify the theoretical results. 展开更多
关键词 nonlinear feedback control chaos synchronization the 4D hyperchaotic chen system
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Synchronization in lattices of coupled non-autonomous Chen system via Lyapunov function 被引量:1
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作者 陈涛 周盛凡 《Journal of Shanghai University(English Edition)》 CAS 2009年第3期242-247,共6页
This paper considers the synchronization of solutions for lattices of the coupled non-autonomous Chen system. By using the Lyapunov function, we show that when the second coupled operator is negative definite self-adj... This paper considers the synchronization of solutions for lattices of the coupled non-autonomous Chen system. By using the Lyapunov function, we show that when the second coupled operator is negative definite self-adjoint and its coefficient is suitable large, the Chen coupled lattice system is bounded dissipative (In particular, the solutions for lattices of the coupled autonomous Chen system converge to zero as t→∞). The synchronization between any two solutions of the coupled Chen system can be slaved only by coefficients in the x- or y-component for the suitably large second coupled coefficient. Finally, some numerical simulations are given. 展开更多
关键词 chen system SYNCHRONIZATION lattice system bounded dissipative
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Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system 被引量:1
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作者 谌龙 史跃东 王德石 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第10期145-147,共3页
Based on Lyapunov theory, the adaptive generalized synchronization between Chen system and a multi-scroll chaotic system is investigated. According to the form of target function a proper adaptive controller is design... Based on Lyapunov theory, the adaptive generalized synchronization between Chen system and a multi-scroll chaotic system is investigated. According to the form of target function a proper adaptive controller is designed, by which the controlled Chen system can be synchronized with a multi-scroll chaotic system including unknown parameters. The Lyapunov direct method is exploited to prove that the synchronization error and parameter identification error both converge to zero. Numerical simulation results verify the feasibility of the proposed method further. 展开更多
关键词 chen system multi-scroll chaotic system generalized synchronization
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Synchronization of hyperchaotic Chen systems:a class of the adaptive control approach 被引量:1
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作者 魏伟 李东海 王京 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第4期117-127,共11页
The synchronization of hyperchaotic Chen systems is considered. An adaptive synchronization approach and a cascade adaptive synchronization approach are presented to synchronize a drive system and a response system. B... The synchronization of hyperchaotic Chen systems is considered. An adaptive synchronization approach and a cascade adaptive synchronization approach are presented to synchronize a drive system and a response system. By utilizing an adaptive controller based on the dynamic compensation mechanism, exact knowledge of the systems is not necessarily required, and the synchronous speed is controllable by tuning the controller parameters. Sufficient conditions for the asymptotic stability of the two synchronization schemes are derived. Numerical simulation results demonstrate that the adaptive synchronization scheme with four control inputs and the cascade adaptive synchronization scheme with only one control signal are effective and feasible in chaos synchronization of hyperchaotic systems. 展开更多
关键词 hyperchaotic chen systems adaptive synchronization cascade adaptive synchronization synchronous speed
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Chaotic attractor transforming control of hybrid Lorenz-Chen system
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作者 齐冬莲 王乔 顾弘 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第3期847-851,共5页
Based on passive theory, this paper studies a hybrid chaotic dynamical system from the mathematics perspective to implement the control of system stabilization. According to the Jacobian matrix of the nonlinear system... Based on passive theory, this paper studies a hybrid chaotic dynamical system from the mathematics perspective to implement the control of system stabilization. According to the Jacobian matrix of the nonlinear system, the stabilization control region is gotten. The controller is designed to stabilize fast the minimum phase Lorenz-Chen chaotic system after equivalently transforming from chaotic system to passive system. The simulation results show that the system not only can be controlled at the different equilibria, but also can be transformed between the different chaotic attractors. 展开更多
关键词 hybrid Lorenz-chen system chaotic attractor transforming control
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A new piecewise linear Chen system of fractional-order:Numerical approximation of stable attractors 被引量:1
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作者 Marius-F.Danca M.A.Aziz-Alaoui Michael Small 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第6期216-224,共9页
In this paper we present a new version of Chen's system: a piecewise linear (PWL) Chert system of fractional-order. Via a sigmoid-like function, the discontinuous system is transformed into a continuous system. By... In this paper we present a new version of Chen's system: a piecewise linear (PWL) Chert system of fractional-order. Via a sigmoid-like function, the discontinuous system is transformed into a continuous system. By numerical simulations, we reveal chaotic behaviors and also multistability, i.e., the existence of small pararheter windows where, for some fixed bifurcation parameter and depending on initial conditions, coexistence of stable attractors and chaotic attractors is possible. Moreover, we show that by using an algorithm to switch the bifurcation parameter, the stable attractors can be numerically approximated. 展开更多
关键词 PWL chen attractor of fractional-order parameter switching Cellina's Theorem Filippov regu-larization Sigmoid function bifurcation diagram
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三维Chen系统的动力学行为分析
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作者 周好 张东培 《应用数学进展》 2026年第1期98-111,共14页
本文利用谱理论和动态跃迁理论研究了三维Chen系统的动力学行为。利用谱理论,得到了该系统发生两次动态跃迁的临界控制参数c1和c2,并给出了相应的PES条件。基于动态跃迁理论,得到了该系统发生两次跃迁的相关结论。首先,该系统在c1处发... 本文利用谱理论和动态跃迁理论研究了三维Chen系统的动力学行为。利用谱理论,得到了该系统发生两次动态跃迁的临界控制参数c1和c2,并给出了相应的PES条件。基于动态跃迁理论,得到了该系统发生两次跃迁的相关结论。首先,该系统在c1处发生连续型跃迁,原有平衡态失稳,并分歧出两个渐近稳定的奇点。其次,随着控制参数c的持续增大,该系统在c2处发生两种不同类型的跃迁。在一定条件下,该系统发生跳跃型跃迁,并分歧出不稳定的周期轨道;而在相反的条件下发生连续型跃迁,分歧出渐近稳定的周期轨道。 展开更多
关键词 chen系统 PES条件 动态跃迁
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Pitchfork bifurcation and circuit implementation of a novel Chen hyper-chaotic system 被引量:2
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作者 董恩增 陈增强 +1 位作者 陈在平 倪建云 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第3期92-100,共9页
In this paper, a novel four dimensional hyper-chaotic system is coined based on the Chen system, which contains two quadratic terms and five system parameters. The proposed system can generate a hyper-chaotic attracto... In this paper, a novel four dimensional hyper-chaotic system is coined based on the Chen system, which contains two quadratic terms and five system parameters. The proposed system can generate a hyper-chaotic attractor in wide parameters regions. By using the center manifold theorem and the local bifurcation theory, a pitchfork bifurcation is demonstrated to arise at the zero equilibrium point. Numerical analysis demonstrates that the hyper-cha^tic system can generate complex dynamical behaviors, e.g., a direct transition from quasi-periodic behavior to hyper-chaotic behavior. Finally, an electronic circuit is designed to implement the hyper-chaotic system, the experimental results are consist with the numerical simulations, which verifies the existence of the hyper-chaotic attractor. Due to the complex dynamic behaviors, this new hyper-cha^tic system is useful in the secure communication. 展开更多
关键词 HYPER-CHAOS chen system pitchfork bifurcation center manifold theorem
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EXPONENTIAL FACTORS AND NONDARBOUXIAN INTEGRABILITY OF THE CHEN SYSTEM
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作者 Lü Tinghua 《Annals of Differential Equations》 2007年第3期304-311,共8页
In this paper, we characterize all exponential factors and Darbouxian first integrals of the Chen system. We use the weight homogeneous polynomials and the method of characteristic curves to solve the linear partial d... In this paper, we characterize all exponential factors and Darbouxian first integrals of the Chen system. We use the weight homogeneous polynomials and the method of characteristic curves to solve the linear partial differential equations. 展开更多
关键词 chen system exponential factor Darbouxian integrability
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Parameter identification and synchronization of an uncertain Chen chaotic system via adaptive control 被引量:4
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作者 Chen Shi-Hua Zhao Li-Min Liu Jie 《Chinese Physics B》 SCIE EI CAS CSCD 2002年第6期543-546,共4页
A systematic design process of adaptive synchronizatjon and parameter identification of an uncertain Chen chaotrcsystem is provided.With thia new and effettive method,parameter identification and synchronization of th... A systematic design process of adaptive synchronizatjon and parameter identification of an uncertain Chen chaotrcsystem is provided.With thia new and effettive method,parameter identification and synchronization of the Chensystem,with all the system parameters unknown,can be achieved simultaneously.Theoretical proof and numericalsimulation demonstrate the effectiveness and feaaibility of the proposed method. 展开更多
关键词 SYNCHRONIZATION parameters identification uncertain chen chaotic system
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Chaos control and reduced-order generalized synchronization for the Chen-Liao system 被引量:1
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作者 李瑞红 徐伟 李爽 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第6期1591-1596,共6页
This paper deals with the problem of chaos control and synchronization of the Chen-Liao system. From rigorous mathematic justification, the chaotic trajectories of the Chen-Liao system are led to a type of points whos... This paper deals with the problem of chaos control and synchronization of the Chen-Liao system. From rigorous mathematic justification, the chaotic trajectories of the Chen-Liao system are led to a type of points whose fourdimensional coordinates have a particular functional relation among them. Meanwhile, a new synchronization manner, reduced-order generalized synchronization (RGS), is proposed which has the characteristic of having a functional relation between the slave and the partial master systems. It is shown that this new synchronization phenomenon can be realized by a novel technique. Numerical simulations have verified the effectiveness of the proposed scheme. 展开更多
关键词 chen-Liao chaotic system chaos control RGS
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Theoretical and experimental study of Chen chaotic system with notch filter feedback control
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作者 张晓明 陈菊芳 彭建华 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第9期261-267,共7页
Since the past two decades, the time delay feedback control method has attracted more and more attention in chaos control studies because of its simplicity and efficiency compared with other chaos control schemes. Rec... Since the past two decades, the time delay feedback control method has attracted more and more attention in chaos control studies because of its simplicity and efficiency compared with other chaos control schemes. Recently, it has been proposed to suppress low-dimensional chaos with the notch filter feedback control method, which can be implemented in a laser system. In this work, we have analytically determined the controllable conditions for notch filter feedback controlling of Chen chaotic system in terms of the Hopf bifurcation theory. The conditions for notch filter feedback controlled Chen chaoitc system having a stable limit cycle solution are given. Meanwhile, we also analysed the Hopf bifurcation direction, which is very important for parameter settings in notch filter feedback control applications. Finally, we apply the notch filter feedback control methods to the electronic circuit experiments and numerical simulations based on the theoretical analysis. The controlling results of notch filter feedback control method well prove the feasibility and reliability of the theoretical analysis. 展开更多
关键词 notch filter feedback control chen chaotic system Hopf bifurcation
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Hybrid Synchronization of a Chen Hyper-Chaotic System with Two Simple Linear Feedback Controllers
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作者 Guomao Xu Shihua Chen 《Applied Mathematics》 2013年第11期13-17,共5页
This paper brings attention on the hybrid synchronization of the Chen hyper-chaotic system by using some simple controllers. We give the sufficient conditions for achieving the goal by using the Lyapunov stability the... This paper brings attention on the hybrid synchronization of the Chen hyper-chaotic system by using some simple controllers. We give the sufficient conditions for achieving the goal by using the Lyapunov stability theory, and we verify our conclusion by numerical simulations. 展开更多
关键词 HYBRID SYNCHRONIZATION chen Hyper-Chaotic system Linear FEEDBACK Control
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类Chen-Qi四维超混沌系统预定时间自适应同步
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作者 王院生 《动力学与控制学报》 2025年第2期83-92,共10页
本文应用预定时间控制理论,设计了基于正切函数、双曲正切函数、指数函数的三种自适应控制器和参数估计律,以实现类Chen-Qi超混沌的驱动系统与同类型的参数未知的响应系统,在预定时间内达到同步,完成理论证明.应用数值仿真,考察了同步... 本文应用预定时间控制理论,设计了基于正切函数、双曲正切函数、指数函数的三种自适应控制器和参数估计律,以实现类Chen-Qi超混沌的驱动系统与同类型的参数未知的响应系统,在预定时间内达到同步,完成理论证明.应用数值仿真,考察了同步误差曲线、控制输入曲线图等,对比了三种控制器的效果.结果表明:当驱动系统为混沌运动时,设计的控制器能使响应系统在预定时间内同步到混沌运动,四个状态的同步误差收敛时间相差较小.当驱动系统为周期运动时,设计的控制器能使响应系统同步到周期运动,但四个状态的同步误差收敛时间相差较大.其根本原因是三次非线性项带来的不平衡、不匹配.同时也表明:基于正切函数的自适应控制器和参数校正律,相比其余两种控制器和参数自适应律,对状态初值和系统参数有更大的适应范围,普适性更好. 展开更多
关键词 chen-Qi超混沌系统 预定时间同步 自适应控制器 数值仿真
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LSTM特征重构的复合Chen混沌系统与线性反馈同步
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作者 杨阳 李艳 张俊芳 《电子元件与材料》 北大核心 2025年第9期1066-1072,共7页
为增强复杂混沌系统同步控制的鲁棒性与可靠性,提出一种融合经典Chen混沌系统与长短期记忆神经网络(Long Short-Term Memory, LSTM)的增强型线性反馈同步控制方法。首先,利用LSTM网络对经典Chen混沌系统进行非线性相空间重构,进而构建... 为增强复杂混沌系统同步控制的鲁棒性与可靠性,提出一种融合经典Chen混沌系统与长短期记忆神经网络(Long Short-Term Memory, LSTM)的增强型线性反馈同步控制方法。首先,利用LSTM网络对经典Chen混沌系统进行非线性相空间重构,进而构建具备扩展动力学特性的改进型混沌动力学模型。其次,采用相空间重构、分岔图及最大Lyapunov指数(Largest Lyapunov Exponent, LLE)分析验证混沌特性。最后,设计基于LLE阈值的自适应线性反馈控制器,证明当增益参数k>LLE时主从系统可实现指数同步。结果表明,重构系统相较于原系统,其LLE值提升17%,呈现显著强混沌特性。当增益参数k=50时,同步误差在0.15 s内收敛至零,收敛速度优于传统控制策略。为高安全性混沌保密通信系统提供理论支持,具备控制器结构简化、参数自适应性强及硬件兼容性高等优势。 展开更多
关键词 复杂混沌系统 同步控制 chen混沌系统 LSTM 线性反馈
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CIIS President Chen Bo Leads a Delegation to Visit India
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《China International Studies》 2025年第3期F0003-F0003,共1页
From May 20 to 24,2025,CIIS President Chen Bo led a delegation to visit India.During the visit,the delegation attended the 20th meeting of the Shanghai Cooperation Organization(SCO)Forum hosted by the Indian Council o... From May 20 to 24,2025,CIIS President Chen Bo led a delegation to visit India.During the visit,the delegation attended the 20th meeting of the Shanghai Cooperation Organization(SCO)Forum hosted by the Indian Council of World Affairs(ICWA)and had in-depth exchanges with all participants on topics such as security,sustainable development and cultural cooperation in the SCO region.The delegation also had meetings with the Vivekananda International Foundation(VIF)and the Institute of Chinese Studies(ICS)in India. 展开更多
关键词 Shanghai Cooperation Organization CIIS SCO Forum chen Bo INDIA Security Institute Chinese Studies Vivekananda International Foundation
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Chen Hailin Huasheng Textile Group: Weaving a brighter future with technology
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作者 Ju Xinyu Zhong Mengxia 《China Textile》 2025年第4期6-8,共3页
Within the Huasheng Textile Industrial Park in Wudi Economic Development Zone,Binzhou,Shandong,a impressive figure over 1.8 meters tall shuttles back and forth between home and production workshop.Chen Hailin,Chairman... Within the Huasheng Textile Industrial Park in Wudi Economic Development Zone,Binzhou,Shandong,a impressive figure over 1.8 meters tall shuttles back and forth between home and production workshop.Chen Hailin,Chairman of Shandong Huasheng Textile Group Co.,Ltd.and leader of Hong Kong Huasheng Group,has the boots-on-the-ground confidence when discussing technological breakthroughs. 展开更多
关键词 Huasheng Textile Group chen Hailin Wudi Economic Development Zone technological breakthroughs TECHNOLOGY SHANDONG Binzhou
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Antithrombotic effect in zebrafish of a fibrinolytic protein EPF3 from Dilong(Pheretima vulgaris Chen)and its transport mechanism in Caco-2 monolayer through cell bypass pathway
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作者 Wan-ling Zhong Jian-qiong Yang +4 位作者 Hai Liu Ya-li Wu Hui-juan Shen Peng-yue Li Shou-ying Du 《Journal of Integrative Medicine》 2025年第4期415-428,共14页
Objective:EPF3 is a fibrinolysin monomer isolated and purified from Pheretima vulgaris Chen,an earthworm used in traditional Chinese medicine as Dilong for treating blood stasis syndrome.Its composition,anticoagulant ... Objective:EPF3 is a fibrinolysin monomer isolated and purified from Pheretima vulgaris Chen,an earthworm used in traditional Chinese medicine as Dilong for treating blood stasis syndrome.Its composition,anticoagulant and fibrinolytic activities,and relevant mechanisms have been confirmed through in vitro experiments.However,whether it has antithrombotic effects in vivo and can be absorbed by the gastrointestinal tract is unknown.This study evaluates the antithrombotic effect in zebrafish and investigates the gastrointestinal stability and intestinal absorption mechanism of this protein in vitro.Methods:The antithrombotic effect of EPF3 in vivo was verified using the zebrafish thrombus model induced by arachidonic acid and FeCl3.Then,the protein bands of EPF3 incubated with simulated gastric fluid(SGF),simulated intestinal fluid(SIF),and homogenate of Caco-2 cells(HC2C)were analyzed by sodium dodecyl sulfate–polyacrylamide gel electrophoresis to evaluate its gastrointestinal stability.Finally,the transport behavior and absorption mechanism of EPF3 were studied using Caco-2 cell monolayer.Results:EPF3 could significantly enhance the returned blood volume and blood flow velocity in zebrafish with platelet aggregation thrombus induced by arachidonic acid.It could also prolong the formation time of tail artery thrombus and increase the blood flow velocity in zebrafish with vessel injury thrombus induced by FeCl3.EPF3 was stable in SIF and HC2C and unstable in SGF.The permeability of EPF3 in Caco-2 monolayer was time-dependent and concentration-dependent.The efflux ratio was less than1.2 during transport,and the transport behavior was not affected by inhibitors.EPF3 could reversibly reduce the expression of tight junction-related proteins,including zonula occludens-1,occludin,and claudin-1 in Caco-2 cells.Conclusion:EPF3 could play a thrombolytic and antithrombotic role in zebrafish.It could be transported and absorbed into the intestine through cellular bypass pathway by opening the intestinal epithelium tight junction.This study provides a scientific explanation for the antithrombotic effect of earthworm and provides a basis for the feasibility of subsequent development of EPF3 as an antithrombotic enteric-soluble preparation.Please cite this article as:Zhong WL,Yang JQ,Liu H,Wu YL,Shen HJ,Li PY,Du SY.Antithrombotic effect in zebrafish of a fibrinolytic protein EPF3 from Dilong(Pheretima vulgaris Chen)and its transport mechanism in Caco-2 monolayer through cell bypass pathway.J Integr Med.2025;23(4):415–428. 展开更多
关键词 Pheretima vulgaris chen Antithrombotic effect Intestinal absorption mechanism Caco-2 cell monolayer Fibrinolytic protein
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