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Hamilton Energy Control for the Chaotic System with Hidden Attractors

Author

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  • Meibo Wang
  • Shaojuan Ma
  • Xinzhi Liu

Abstract

In this paper, the dynamic behavior and control of chaotic systems with hidden attractors are studied. Firstly, a class of autonomous chaotic systems without the equilibrium point is proposed. Secondly, quantitative analysis methods are applied to explore the dynamic behavior of the new chaotic systems. Then, the Hamilton energy function of the new system is calculated by the Helmholtz theorem and the energy feedback controller is designed. Finally, the effectiveness of the controller is verified by numerical simulations. Compared with the line feedback control, the control effect of Hamilton energy control is better.

Suggested Citation

  • Meibo Wang & Shaojuan Ma & Xinzhi Liu, 2021. "Hamilton Energy Control for the Chaotic System with Hidden Attractors," Complexity, Hindawi, vol. 2021, pages 1-10, August.
    • Handle: RePEc:hin:complx:5530557
    DOI: 10.1155/2021/5530557
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    Cited by:

    1. Rajgopal, Karthikeyan & Karthikeyan, Anitha & V.R., Varun Raj, 2022. "Dynamical behavior of pancreatic β cells with memductance flux coupling: Considering nodal properties and wave propagation in the excitable media," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

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