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A novel memristive chaotic system with ubiquitous extreme multistability

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  • Chang, Hui
  • Han, Baoxing
  • Zhang, Yan
  • Li, Yuxia

Abstract

This paper proposes a novel memristive chaotic system with extreme multistability across numerous different parameter domains, termed as ubiquitous extreme multistability (UEM). Its salient feature is that the system possesses an uncountable infinity of heterogeneous phase orbits for each specific sets of parameter values; no fine tuning of parameters is required. Through synthesized analysis, containing phase diagrams, bifurcations and Lyapunov exponent spectra, the system's quasi-conservative dynamics is found. Numerical experiments have revealed parameter-invariant phase orbit diversity, which is manifested as arc-shaped, S-shaped, digit-7-shaped, L-shaped, Z-shaped, and ripple-like phase orbit patterns, corresponding to period, quasi-period, and chaos. Meanwhile, it was found that the initial conditions and system parameters jointly drive various morphogenesis, which explains observed bifurcation cascades and dynamical distributions. Experiments with physical circuits partially verified the existence of UEW. The proposed system with UEW establishes new design paradigms for reconfigurable neuromorphic processors and chaos-based cryptosystems, making it possible to interpret the dynamics of adaptive data transformation.

Suggested Citation

  • Chang, Hui & Han, Baoxing & Zhang, Yan & Li, Yuxia, 2026. "A novel memristive chaotic system with ubiquitous extreme multistability," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    • Handle: RePEc:eee:chsofr:v:203:y:2026:i:c:s0960077925016121
    DOI: 10.1016/j.chaos.2025.117599
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    References listed on IDEAS

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