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A new four-dimensional hyperchaotic chen system and its generalized synchronization

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Chinese Physics B 2010年第10期19卷 125-135页

作者：贾立新戴浩惠萌 State Key Laboratory of Electrical Insulation and Power Equipment School of Electrical Engineering Xi'an Jiaotong University

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.

关键词： hyperchaotic chen system generalized synchronization Lyapunov stability theory

Stability and synchronization of controlled hyperchaotic chen system

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Stability and synchronization of controlled hyperchaotic Che...

Synchronization of hyperchaotic chen system Based on Fuzzy State Feedback Controller

第九届全国动力学与控制学术会议

作者： HUANG Dong-mei XU Wei WANG Liang Department of Applied Mathematics Northwestern Polytechnical University

This paper derives some new and more comprehensive sufficient conditions for the stabilization and synchronization of hyperchaotic chen system via an impulsive method,which can guarantee the global asymptotical stability and synchronization for the controlled *** we also present the estimate of the stable region for the equidistance impulsive *** experiments demonstrate the effectiveness of the proposed ***,the robustness against the noise is considered.

关键词： stability synchronization impulsive control hyperchaotic chen system

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Synchronization of Hyperchaotic Chen System Based on Fuzzy S...

Function Projective Synchronization of Two Identical New hyperchaotic systems

第二十九届中国控制会议

作者： HUANG Xia1,CAO Jinde2 1.College of Information and Electrical Engineering,Shandong University of Science and Technology,Qingdao 266510,P.R.China2.Department of Mathematics,Southeast University,Nanjing 210096,P.R.China

This paper deals with the problem of synchronization of two hyperchaotic chen systems subject to parameter *** investigate the stability of the error dynamical system and facilitate the design of the controller,T-S fuzzy model is employed to represent the dynamics of the hyperchaotic system and the parallel distributed compensation（PDC）technique is applied to design the fuzzy state feedback *** virtue of Lyapunov stability theory,a sufficient condition for synchronization is derived to aid the design of the fuzzy *** gain matrices can be obtained by solving a set of linear matrix inequalities（LMIs）.Numerical simulation results show that the proposed method can realize synchronization of two hyerchaotic chen systems with different T-S fuzzy model representation.

关键词： hyperchaotic chen system T-S Fuzzy Model Synchronization LMIs

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Communications in Theoretical Physics 2007年第5X期48卷 864-870页

作者： LI Xin Nonlinear Science Center and Department of Mathematics Ningbo Univcrsity Ningbo 315211 China Institute of Theoretical Computing East China Normal University Shanghai 200062 China Key Laboratory of Mathematics Mechanization the Chinese Academy of Sciences Beijing 100080 China

A function projective synchronization of two identical hyperchaotic systems is defined and the theorem of sufficient condition is given. Based on the active control method and symbolic computation Maple, the scheme of function projective synchronization is developed to synchronize the two identical new hyperchaotic systems constructed by Yan up to a scaling function matrix with different initial values. Numerical simulations are used to verify the effectiveness of the scheme.

关键词： function projective synchronization active control method hyperchaotic chen system

Modified Projective Synchronization of a New hyperchaotic system via Nonlinear Control

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Communications in Theoretical Physics 2009年第8期52卷 274-278页

作者： LI Xin Department of Mathematics Changshu Institute .of Technology Changshu 215500 China

In this paper, a nonlinear control scheme of two identical hyperchaotic Chert systems is developed to realize their modified projective synchronization. We achieve modified projective synchronization between the two identical hyperchaotic systems by directing the scaling factor onto the desired value. With symbolic computation system Maple and Lyapunov stability theory, numerical simulations are given to perform the process of the synchronization.

关键词： modified projective synchronization nonlinear control method hyperchaotic chen system

Synchronization of chaotic systems with different orders

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Chinese Physics B 2007年第2期16卷 346-351页

作者：吕翎栾玲郭治安 College of Physics end Electronic Technology Liaoning Normal University Dalian 116029 China Department of Mathematies end Physics Dalian Jiaotong University Dalian 116028 China

A controller is designed to realize the synchronization between chaotic systems with different orders. The structure of the controller, the error equations and the Lyapunov functions are determined based on stability theory. hyperchaotic chen system and Rossler system are taken for example to demonstrate the method to be effective and feasible. Simulation results show that all the state wriables of Rossler system can be synchronized with those of hyperchaotic chen system by using only one controller, and the error signals approach zero smoothly and quickly.

关键词： chaos synchronization hyperchaotic chen system Rossler system,chaotic systems with different orders