2013Journal of Anqing Teachers CollegeRequires access

Analyzing on a Novel Chaotic System and its Dynamic Behaviors

Ping Zhang

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Abstract

In this paper,a novel three-dimensional autonomous chaotic system is reported.The dynamic properties of the new system are investigated via Lyapunov dimension,numerical simulation,Poincare diagrams and Lyapunov exponent spectrum.The different dynamic behaviors of the system are analyzed especially when each system parameter is changed.The simulation results confirm that the chaotic system is different from the existing chaotic systems and is a novel chaotic system.

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What this paper is about

In this paper,a novel three-dimensional autonomous chaotic system is reported.The dynamic properties of the new system are investigated via Lyapunov dimension,numerical simulation,Poincare diagrams and Lyapunov exponent spectrum.The different dynamic behaviors of the system are analyzed especially when each system parameter is changed.The simulation results confirm that the chaotic system is different from the existing chaotic systems and is a novel chaotic system.

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Available abstract

In this paper,a novel three-dimensional autonomous chaotic system is reported.The dynamic properties of the new system are investigated via Lyapunov dimension,numerical simulation,Poincare diagrams and Lyapunov exponent spectrum.The different dynamic behaviors of the system are analyzed especially when each system parameter is changed.The simulation results confirm that the chaotic system is different from the existing chaotic systems and is a novel chaotic system.

Key concepts: Lyapunov exponent, Chaotic, Synchronization of chaos, Dimension (graph theory), Control theory (sociology), Chaotic systems, Computer science, Chaotic scattering

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