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2011•Journal of Yunnan University of NationalitiesRequires access

Nonlinear Coupling Synchronization of a New Chaotic System

Jiangang Zhang

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Abstract

This paper discusses the nonlinear characteristics of a new chaotic system,and gives the phase diagram of the system,power spectrum,Poincare mapping and Lyapunov index.It uses the nonlinear function coupling method to discuss the chaotic synchronization problems of the chaotic attractor.Through the numerical simulation it is concluded that the initial value and the choice of the coupling strength factor has less influence on the realization of chaos synchronization,which has proved that this chaotic synchronization method is effective.

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What this paper is about

This paper discusses the nonlinear characteristics of a new chaotic system,and gives the phase diagram of the system,power spectrum,Poincare mapping and Lyapunov index.It uses the nonlinear function coupling method to discuss the chaotic synchronization problems of the chaotic attractor.Through the numerical simulation it is concluded that the initial value and the choice of the coupling strength factor has less influence on the realization of chaos synchronization,which has proved that this chaotic synchronization method is effective.

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Available abstract

This paper discusses the nonlinear characteristics of a new chaotic system,and gives the phase diagram of the system,power spectrum,Poincare mapping and Lyapunov index.It uses the nonlinear function coupling method to discuss the chaotic synchronization problems of the chaotic attractor.Through the numerical simulation it is concluded that the initial value and the choice of the coupling strength factor has less influence on the realization of chaos synchronization,which has proved that this chaotic synchronization method is effective.

Key concepts: Synchronization of chaos, Chaotic, Attractor, Synchronization (alternating current), Lyapunov exponent, Nonlinear system, Control theory (sociology), Realization (probability)

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