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On the global boundedness of the Lü system

Author

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  • Zhang, Fuchen
  • Liao, Xiaofeng
  • Zhang, Guangyun

Abstract

In this paper, we are concerned with the open problem of the global boundedness of the Lü system based on Lyapunov stability theory, which was proposed by Zhang and Mu (2012). The innovation of the paper is that this paper not only proves the Lü system is global bounded according to dynamical systems theory but also gives the bounds of the Lü system.

Suggested Citation

  • Zhang, Fuchen & Liao, Xiaofeng & Zhang, Guangyun, 2016. "On the global boundedness of the Lü system," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 332-339.
    • Handle: RePEc:eee:apmaco:v:284:y:2016:i:c:p:332-339
    DOI: 10.1016/j.amc.2016.03.017
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    References listed on IDEAS

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    1. Leonov, G.A. & Kuznetsov, N.V., 2015. "On differences and similarities in the analysis of Lorenz, Chen, and Lu systems," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 334-343.
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    Cited by:

    1. Chien, Fengsheng & Inc, Mustafa & Yosefzade, Hamidreza & Saberi Nik, Hassan, 2021. "Predicting the chaos and solution bounds in a complex dynamical system," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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