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Analysis and Circuit Implementation of Fractional Order Multi-wing Hidden Attractors

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  • Cui, Li
  • Lu, Ming
  • Ou, Qingli
  • Duan, Hao
  • Luo, Wenhui

Abstract

In order to improve the complexity of chaotic signals, a new three-dimensional quadratic two-wing hidden chaotic system is proposed in this paper, the corresponding fractional order multi-wing system is put forward. Fractional order multi-wing chaotic hidden attractors are generated in the system. The Adomian decomposition algorithm is used to solve the proposed fractional-order chaotic system, the complex chaotic map, Lyaponov exponent spectrum, bifurcation diagram, Poincaré section, power spectrum, power spectrum Shannon entropy and exponential entropy, SE (spectral entropy) complexity are obtained, and the dynamic characteristics of the system are analyzed. Also, the riddled basins of attraction and coexisting multi-stable patterns are studied. By designing the equivalent circuit module of fractional integral operator, a circuit system for the fractional-order chaotic system is constructed and the 0.9-order multi-wing chaotic attractors are realized.

Suggested Citation

  • Cui, Li & Lu, Ming & Ou, Qingli & Duan, Hao & Luo, Wenhui, 2020. "Analysis and Circuit Implementation of Fractional Order Multi-wing Hidden Attractors," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    • Handle: RePEc:eee:chsofr:v:138:y:2020:i:c:s0960077920302940
    DOI: 10.1016/j.chaos.2020.109894
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    References listed on IDEAS

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    1. Cui, Li & Luo, Wenhui & Ou, Qingli, 2021. "Analysis of basins of attraction of new coupled hidden attractor system," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
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    3. Cang, Shijian & Zhao, Gehang & Wang, Zenghui & Chen, Zengqiang, 2022. "Global structures of clew-shaped conservative chaotic flows in a class of 3D one-thermostat systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    4. Fei Yu & Shuai Xu & Yue Lin & Ting He & Chaoran Wu & Hairong Lin, 2024. "Design and Analysis of a Novel Fractional-Order System with Hidden Dynamics, Hyperchaotic Behavior and Multi-Scroll Attractors," Mathematics, MDPI, vol. 12(14), pages 1-22, July.
    5. Sahoo, Shilalipi & Roy, Binoy Krishna, 2022. "A new multi-wing chaotic attractor with unusual variation in the number of wings," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    6. Luo, Shaohua & Yang, Guanci & Li, Junyang & Ouakad, Hassen M., 2022. "Dynamic analysis, circuit realization and accelerated adaptive backstepping control of the FO MEMS gyroscope," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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