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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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    1. Yu, Mengyao & Sun, Kehui & Liu, Wenhao & He, Shaobo, 2018. "A hyperchaotic map with grid sinusoidal cavity," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 107-117.
    2. Li, Chunbiao & Sprott, Julien Clinton & Kapitaniak, Tomasz & Lu, Tianai, 2018. "Infinite lattice of hyperchaotic strange attractors," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 76-82.
    3. Hongyan Xing & Yan Yan, 2018. "Detection of Low-Flying Target under the Sea Clutter Background Based on Volterra Filter," Complexity, Hindawi, vol. 2018, pages 1-12, July.
    4. Pham, Viet–Thanh & Jafari, Sajad & Volos, Christos & Fortuna, Luigi, 2019. "Simulation and experimental implementation of a line–equilibrium system without linear term," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 213-221.
    5. Ding, Dawei & Yan, Jie & Wang, Nian & Liang, Dong, 2017. "Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 41-50.
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    Cited by:

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