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Chaotic attractor generation and critical value analysis via switching approach

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  • Guo, Jiajie
  • Xie, Guangming
  • Wang, Long

Abstract

The generation of novel chaotic funnel-shaped attractors is introduced and the analysis of related critical values is given with a proposed switching method in this paper. The underlying mechanism involves a simple three-dimensional switched system and a hysteretically switching signal. Moreover, theoretic analysis is carried out to study the attractor generation and the corresponding critical values by fully utilizing the specific structure of the non-smooth system. Based on carefully derivation, the critical values and related stability regions of the created attractors are estimated explicitly, which is usually impossible for general non-smooth dynamics. In addition, it is demonstrated by simulation that various attractor patterns are generated conveniently by adjusting suitable system parameters.

Suggested Citation

  • Guo, Jiajie & Xie, Guangming & Wang, Long, 2009. "Chaotic attractor generation and critical value analysis via switching approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2160-2169.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:5:p:2160-2169
    DOI: 10.1016/j.chaos.2007.10.015
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    References listed on IDEAS

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    1. Chen, Qingfei & Hong, Yiguang & Chen, Guanrong, 2006. "Chaotic behaviors and toroidal/spherical attractors generated by discontinuous dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 293-302.
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    Cited by:

    1. Chiou, Juing-Shian & Cheng, Chun-Ming, 2009. "Stabilization analysis of the switched discrete-time systems using Lyapunov stability theorem and genetic algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 751-759.

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