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

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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.

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Authors and Affiliations

  1. Department of Automation, Tianjin University of Science and Technology, Tianjin, 300222, P.R. China

    Hong-Yan Jia & Guo-Yuan Qi

  2. Department of Automation, Nankai University, Tianjin, 300071, P.R. China

    Hong-Yan Jia & Zeng-Qiang Chen

  3. F’SATIE, Tshwane University of Technology, Pretoria, 0001, South Africa

    Guo-Yuan Qi

Authors
  1. Hong-Yan Jia
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  2. Zeng-Qiang Chen
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  3. Guo-Yuan Qi
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Correspondence to Hong-Yan Jia.

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Jia, HY., Chen, ZQ. & Qi, GY. Topological horseshoe analysis and the circuit implementation for a four-wing chaotic attractor. Nonlinear Dyn 65, 131–140 (2011). https://doi.org/10.1007/s11071-010-9879-z

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  • DOI: https://doi.org/10.1007/s11071-010-9879-z

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