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Stability and Hopf bifurcation analysis of a new system

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  • Huang, Kuifei
  • Yang, Qigui

Abstract

In this paper, a new chaotic system is introduced. The system contains special cases as the modified Lorenz system and conjugate Chen system. Some subtle characteristics of stability and Hopf bifurcation of the new chaotic system are thoroughly investigated by rigorous mathematical analysis and symbolic computations. Meanwhile, some numerical simulations for justifying the theoretical analysis are also presented.

Suggested Citation

  • Huang, Kuifei & Yang, Qigui, 2009. "Stability and Hopf bifurcation analysis of a new system," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 567-578.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:2:p:567-578
    DOI: 10.1016/j.chaos.2007.01.107
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    References listed on IDEAS

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    1. Čelikovský, Sergej & Chen, Guanrong, 2005. "On the generalized Lorenz canonical form," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1271-1276.
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    Cited by:

    1. Zhiqin Qiao & Xianyi Li, 2014. "Dynamical analysis and numerical simulation of a new Lorenz-type chaotic system," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 20(3), pages 264-283, May.
    2. Meng Liu & Zhaoyan Wu & Xinchu Fu, 2022. "Dynamical Analysis of a One- and Two-Scroll Chaotic System," Mathematics, MDPI, vol. 10(24), pages 1-14, December.
    3. Michail P. Markakis & Panagiotis S. Douris, 2016. "On the Computation of Degenerate Hopf Bifurcations for -Dimensional Multiparameter Vector Fields," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2016, pages 1-12, June.

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