Novel four-dimensional autonomous chaotic system generating one-, two-, three- and four-wing attractors

doi:10.1088/1674-1056/20/11/110505

Abstract In this paper, we propose a novel four-dimensional autonomous chaotic system. Of particular interest is that this novel system can generate one-, two, three- and four-wing chaotic attractors with the variation of a single parameter, and the multi-wing type of the chaotic attractors can be displayed in all directions. The system is simple with a large positive Lyapunov exponent and can exhibit some interesting and complicated dynamical behaviours. Basic dynamical properties of the four-dimensional chaotic system, such as equilibrium points, the Poincaré map, the bifurcation diagram and the Lyapunov exponents are investigated by using either theoretical analysis or numerical method. Finally, a circuit is designed for the implementation of the multi-wing chaotic attractors. The electronic workbench observations are in good agreement with the numerical simulation results.

Keywords: multi-wing chaotic attractors four-dimensional chaotic system Poincaré map bifurcation diagram

Received: 27 May 2011
Revised: 17 June 2011
Accepted manuscript online:

PACS:

05.45.Jn

(High-dimensional chaos)

Cite this article:

Yu Fei(余飞), Wang Chun-Hua(王春华), Yin Jin-Wen(尹晋文), and Xu Hao(徐浩) Novel four-dimensional autonomous chaotic system generating one-, two-, three- and four-wing attractors 2011 Chin. Phys. B 20 110505

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Novel four-dimensional autonomous chaotic system generating one-, two-, three- and four-wing attractors

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