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A new chaotic system with nested coexisting multiple attractors and riddled basins

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  • Zhou, Ling
  • You, Zhenzhen
  • Tang, Yun

Abstract

This paper presents a new three-dimensional chaotic system with a nonlinear term. More interesting is that the system can produce different types of coexisting attractors under one sets of fixed model parameters, which include point attractor, bursting orbit, three kinds of period orbits, and two kinds of chaotic orbits. At the same time, the coexisting attractors have nested structure. In addition, riddled basins are observed on local attraction basins, which indicate that the dynamical behaviors of proposed system are extremely sensitive to the initial conditions. Finally, by setting different initial condition, the circuit can generate multitudinous coexisting attractors. The circuit implementation in Pspice supports furtherly numerical analyses and validates the mathematical model.

Suggested Citation

  • Zhou, Ling & You, Zhenzhen & Tang, Yun, 2021. "A new chaotic system with nested coexisting multiple attractors and riddled basins," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    • Handle: RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921004112
    DOI: 10.1016/j.chaos.2021.111057
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    References listed on IDEAS

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    7. Qin, Bo & Zhang, Ying, 2024. "Comprehensive analysis of the mechanism of sensitivity to initial conditions and fractal basins of attraction in a novel variable-distance magnetic pendulum," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

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