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Constructing chaotic repellors

Author

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  • Li, Chunbiao
  • Gu, Zhenyu
  • Liu, Zuohua
  • Jafari, Sajad
  • Kapitaniak, Tomasz

Abstract

The introduction of surfaces of equilibria in a dynamical system is a useful tool for constructing a chaotic repellor. To transform an attractor to a repellor, there are infinitely many available functions for introducing a surface of equilibria. Chaotic repellors can be constructed thereafter from a single chaotic attractor, a symmetric pair of chaotic attractors or even from those systems with attractor doubling and self-reproducing. Offset boosting of a variable driven by an embedded function or extra supplementary functions shows a flexible control on system attractors along with those coexisting repellors, which also rescales the frequency of oscillation even without destroying the amplitude of them.

Suggested Citation

  • Li, Chunbiao & Gu, Zhenyu & Liu, Zuohua & Jafari, Sajad & Kapitaniak, Tomasz, 2021. "Constructing chaotic repellors," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920309358
    DOI: 10.1016/j.chaos.2020.110544
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    References listed on IDEAS

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    Cited by:

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