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2006•Acta Physica SinicaOpen access

A new chaotic system and analysis of its properties

Jiezhi Wang, Chen Zengqiang, Zhuzhi Yuan, 南开大学自动化系，天津 300071

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Abstract

This paper reports a new three-dimensional continuous autonomous chaotic system, which is different from the Lorenz, Chen and Lü systems. The new system contains two quadratic cross-product terms and four system parameters. Basic dynamic properties of the new system are studied by means of theoretical analysis, numerical simulation, Lyapunov exponent spectrum, bifurcation diagrams and Poincaré section diagrams. The different dynamic behaviors of the new system are analyzed when each system parameter is changed.

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What this paper is about

This paper reports a new three-dimensional continuous autonomous chaotic system, which is different from the Lorenz, Chen and Lü systems. The new system contains two quadratic cross-product terms and four system parameters. Basic dynamic properties of the new system are studied by means of theoretical analysis, numerical simulation, Lyapunov exponent spectrum, bifurcation diagrams and Poincaré section diagrams. The different dynamic behaviors of the new system are analyzed when each system parameter is changed.

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Available abstract

This paper reports a new three-dimensional continuous autonomous chaotic system, which is different from the Lorenz, Chen and Lü systems. The new system contains two quadratic cross-product terms and four system parameters. Basic dynamic properties of the new system are studied by means of theoretical analysis, numerical simulation, Lyapunov exponent spectrum, bifurcation diagrams and Poincaré section diagrams. The different dynamic behaviors of the new system are analyzed when each system parameter is changed.

Key concepts: Lyapunov exponent, Chaotic, Bifurcation diagram, Quadratic equation, Lorenz system, Chen, Computer science, Bifurcation

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