Journal
CHINESE PHYSICS B
Volume 20, Issue 11, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/20/11/110505
Keywords
multi-wing chaotic attractors; four-dimensional chaotic system; Poincare map; bifurcation diagram
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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.
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