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Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems

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  • Yanqin Xiong
  • Maoan Han

Abstract

We consider a class of discontinuous Liénard systems and study the number of limit cycles bifurcated from the origin when parameters vary. We establish a method of studying cyclicity of the system at the origin. As an application, we discuss some discontinuous Liénard systems of special form and study the cyclicity near the origin.

Suggested Citation

  • Yanqin Xiong & Maoan Han, 2012. "Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:690453
    DOI: 10.1155/2012/690453
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    References listed on IDEAS

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    1. Han, Maoan & Zang, Hong & Zhang, Tonghua, 2007. "A new proof to Bautin’s theorem," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 218-223.
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    Cited by:

    1. Yanqin Xiong & Maoan Han, 2013. "Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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