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

作者：Fei, Yu; Chun Hua, Wang^*; Jin Wen, Yin; Hao, Xu

来源：Chinese Physics B, 2011, 20(11): 110505.

DOI：10.1088/1674-1056/20/11/110505

• multi-wing chaotic attractors
• four-dimensional chaotic system
• Poincare map
• bifurcation diagram

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 Poincare 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.

• 出版日期2011-11
• 单位湖南大学