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Chaotic behaviors and toroidal/spherical attractors generated by discontinuous dynamics

Author

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  • Chen, Qingfei
  • Hong, Yiguang
  • Chen, Guanrong

Abstract

This paper reports a class of chaotic attractors with toroidal or spherical patterns. These attractors look like spheres or tori, but they are not exactly on the two-dimensional toroidal/spherical surfaces. Discontinuous structures are taken in the considered system to produce easily various chaotic tori/spheres with different input functions. Moreover, controlling the shape of these chaotic attractors can be realized by adjusting some parameters with the help of Fourier series. The underlying chaos-generation mechanism is also explored briefly.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:371:y:2006:i:2:p:293-302
    DOI: 10.1016/j.physa.2006.03.047
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    Citations

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    Cited by:

    1. Signing, V.R. Folifack & Kengne, J. & Kana, L.K., 2018. "Dynamic analysis and multistability of a novel four-wing chaotic system with smooth piecewise quadratic nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 263-274.
    2. 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.
    3. 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.
    4. Grassi, Giuseppe & Severance, Frank L. & Miller, Damon A., 2009. "Multi-wing hyperchaotic attractors from coupled Lorenz systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 284-291.

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