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Hopf Bifurcation of the Generalized Lorenz Canonical Form

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Abstract

Hopf bifurcation of a unified chaotic system – the generalized Lorenz canonical form (GLCF) – is investigated. Based on rigorous mathematical analysis and symbolic computations, some conditions for stability and direction of the periodic obits from the Hopf bifurcation are derived.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, P. R. China

    Tiecheng Li, Yun Tang & Lijun Yang

  2. Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, P. R. China

    Guanrong Chen

Authors
  1. Tiecheng Li
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  2. Guanrong Chen
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  3. Yun Tang
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  4. Lijun Yang
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Correspondence to Tiecheng Li.

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Li, T., Chen, G., Tang, Y. et al. Hopf Bifurcation of the Generalized Lorenz Canonical Form. Nonlinear Dyn 47, 367–375 (2007). https://doi.org/10.1007/s11071-006-9036-x

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  • DOI: https://doi.org/10.1007/s11071-006-9036-x

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