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Analysis and control of multiple attractors in Sprott B system

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  • Lai, Qiang
  • Xu, Guanghui
  • Pei, Huiqin

Abstract

This paper investigates the coexistence of multiple attractors in Sprott B system. Two independent chaotic attractors and two independent periodic attractors are numerically found in the system with different parameters and initial values. Multistability is also generated from the Sprott B system by using the sign function. A nonlinear controller is designed for forcing the chaotic motion of Sprott B system to an equilibrium point and enabling the system trajectories to switch between different chaotic attractors. The effectiveness of the controller is illustrated by some numerical experiments.

Suggested Citation

  • Lai, Qiang & Xu, Guanghui & Pei, Huiqin, 2019. "Analysis and control of multiple attractors in Sprott B system," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 192-200.
    • Handle: RePEc:eee:chsofr:v:123:y:2019:i:c:p:192-200
    DOI: 10.1016/j.chaos.2019.04.006
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    References listed on IDEAS

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    Cited by:

    1. Cai, Xinshan & Liu, Ling & Wang, Yaoyu & Liu, Chongxin, 2021. "A 3D chaotic system with piece-wise lines shape non-hyperbolic equilibria and its predefined-time control," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Leutcho, Gervais Dolvis & Jafari, Sajad & Hamarash, Ibrahim Ismael & Kengne, Jacques & Tabekoueng Njitacke, Zeric & Hussain, Iqtadar, 2020. "A new megastable nonlinear oscillator with infinite attractors," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    3. Guedes, Priscila F.S. & Mendes, Eduardo M.A.M. & Nepomuceno, Erivelton, 2022. "Effective computational discretization scheme for nonlinear dynamical systems," Applied Mathematics and Computation, Elsevier, vol. 428(C).

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