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function projective synchronization of Two Identical New Hyperchaotic Systems

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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 scaling function projective synchronization of chaotic systems

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Chinese Physics B 2011年第9期20卷 110-114页

作者：徐玉华周武能方建安 Department of Mathematics and Finance Yunyang Teachers' College Computer School of Wuhan University College of Information Science and Technology Donghua University

This paper investigates a kind of modified scaling function projective synchronization of uncertain chaotic systems using an adaptive controller. The given scaling function in the new method can be an equilibrium point; a periodic orbit, or even a chaotic attractor in the phase space. Based on LaSalle＇s invariance set principle, the adaptive control law is derived to make the states of two chaotic systems function projective synchronized. Some numerical examples are also given to show the effectiveness of the proposed method.

关键词： chaotic system function projective synchronization scaling function

Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance

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Chinese Physics B 2013年第7期22卷 84-88页

作者：王树国郑松 Department of Mathematics and Physics Changzhou CampusHohai University School of Mathematics and Statistics Zhejiang University of Finance & Economics

We investigate the problem of function projective synchronization （FPS） in drive–response dynamical networks with non-identical nodes. An adaptive controller is proposed for the FPS of complex dynamical networks with uncertain parameters and disturbance. Not only are the unknown parameters of the networks estimated by the adaptive laws obtained from the Lyapunov stability theory and Taylor expansions, but the unknown bounded disturbances are also simultaneously conquered by the proposed control. Finally, a numerical simulation is provided to illustrate the feasibility and effectiveness of the obtained result.

关键词： complex networks function projective synchronization disturbance adaptive control

function projective synchronization between Two Discrete-Time Hyperchaotic Systems Using Backstepping Method

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Applied Mathematics 2022年第2期13卷 178-190页

作者： Xin Li School of Mathematics and Statistics Changshu Institute of Technology Changshu China

We realize the function projective synchronization (FPS) between two discrete-time hyperchaotic systems, that is, the drive state vectors and the response state vectors can evolve in a proportional scaling function matrix. In this paper, a systematic scheme is explored to investigate the function projective synchronization of two identical discrete-time hyperchaotic systems using the backstepping method. Additionally, FPS of two different hyperchaotic systems is also realized. Numeric simulations are given to verify the effectiveness of our scheme.

关键词： function projective synchronization Discrete-Time Hyperchaotic System Backstepping Method

function projective synchronization of Fractional-order Chaotic Systems in Sliding Mode Control

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Function Projective Synchronization of Fractional-order Chao...

A function cascade synchronization method with unknown parameters and applications

第九届全国动力学与控制学术会议

作者： BAI Jing YU Yong-guang Department of Mathematics Beijing Jiaotong University

In this paper,the function projective synchronization between fractional-order chaotic systems is *** on the stability theory of fractional-order systems and the theory of sliding mode control,a sliding mode controller for the function projective synchronization of two fractional-order chaotic systems is *** addition,the synchronization between fractional-order Chert systems with different orders and the synchronization between the fractional-order Lorenz

关键词： Chaos Fractional-order function projective synchronization Sliding mode control

来源： cnki会议评论

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Chinese Physics B 2008年第1期17卷 98-104页

作者：安红利陈勇 Nonlinear Science Center and Department of Mathematics Ningbo University Key Laboratory of Mathematics Mechanization Chinese Academy of Sciences

This paper investigates the function cascade synchronization of chaos system. Combining cascade synchronization scheme, parametric adaptive control and projective synchronization scheme, it proposes a new function cascade synchronization scheme to address a generalized-type synchronization problem of three famous chaotic systems： the Lorenz system, Liu system and RSssler system, the states of two identical chaotic systems with unknown parameters can be asymptotically synchronized by choosing different special suitable error functions. Numerical simulations are used to verify the effectiveness of the proposed synchronization techniques.

关键词： chaos projective synchronization function projective synchronization cascade synchronization adaptive control