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Occurrence and underlying mechanism of multi-stripe chaotic attractors

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  • Wu, Jianxin
  • Hong, Yiguang
  • Chen, Guanrong

Abstract

This paper is concerned with the generation of multi-stripe chaotic attractors. Simple periodic nonlinear functions are employed to transform the original chaotic attractors to a pattern with multiple “parallel” or “rectangular” stripes. The relationship between the system parameters related to some periodic functions and the shape of the generated attractor is analyzed. Theoretic analysis about the underlying mechanism of generating the parallel stripes in the attractors is given. A general creation mechanism of multi-stripe attractors of the Lorenz system and other well-known chaotic systems is derived from the proposed unified approach.

Suggested Citation

  • Wu, Jianxin & Hong, Yiguang & Chen, Guanrong, 2009. "Occurrence and underlying mechanism of multi-stripe chaotic attractors," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2250-2258.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2250-2258
    DOI: 10.1016/j.chaos.2008.08.036
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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.
    2. Siewe, M. Siewe & Kakmeni, F.M. Moukam & Tchawoua, C. & Woafo, P., 2005. "Bifurcations and chaos in the triple-well Φ6-Van der Pol oscillator driven by external and parametric excitations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(3), pages 383-396.
    3. Wu, Jianxin & Chen, Qingfei & Hong, Yiguang, 2009. "Striped attractor generation and synchronization analysis for coupled Rössler systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 322-331.
    4. Chen, Qingfei & Zhang, Yu & Hong, Yiguang, 2007. "Generation and control of striped attractors of Rössler systems with feedback," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 693-703.
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