中国物理B ›› 2011, Vol. 20 ›› Issue (11): 110505-110505.doi: 10.1088/1674-1056/20/11/110505

• GENERAL • 上一篇    下一篇

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

余飞, 王春华, 尹晋文, 徐浩   

  1. College of Information Science and Engineering, Hunan University, Changsha 410082, China
  • 收稿日期:2011-05-27 修回日期:2011-06-17 出版日期:2011-11-15 发布日期:2011-11-15

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

Yu Fei(余飞), Wang Chun-Hua(王春华)†, Yin Jin-Wen(尹晋文), and Xu Hao(徐浩)   

  1. College of Information Science and Engineering, Hunan University, Changsha 410082, China
  • Received:2011-05-27 Revised:2011-06-17 Online:2011-11-15 Published:2011-11-15

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摘要： 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.

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.

Key words: multi-wing chaotic attractors, four-dimensional chaotic system, Poincaré map, bifurcation diagram

中图分类号:  (High-dimensional chaos)

  • 05.45.Jn