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Topological horseshoe analysis and the circuit implementation for a four-wing chaotic attractor

Research paper by Hong-Yan Jia, Zeng-Qiang Chen, Guo-Yuan Qi

Indexed on: 06 Nov '10Published on: 06 Nov '10Published in: Nonlinear Dynamics



Abstract

The paper first analyzes a newly reported three-dimensional four-wing chaotic attractor, and observes all kinds of attractors, including periodic and chaotic, by numerical simulation. Then, the chaotic characteristic of the system is proved by investigating the existence of a topological horseshoe in it, based on the topological horseshoe theory. At last, an electronic circuit is designed to implement the chaotic system. The results of circuit experiment coincided well with those of numerical simulation.