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The Number of Limit Cycles of a Polynomial System on the Plane

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  • Chao Liu
  • Maoan Han

Abstract

We perturb the vector field , with a polynomial perturbation of degree , where , and study the number of limit cycles bifurcating from the period annulus surrounding the origin.

Suggested Citation

  • Chao Liu & Maoan Han, 2013. "The Number of Limit Cycles of a Polynomial System on the Plane," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, July.
    • Handle: RePEc:hin:jnlaaa:482850
    DOI: 10.1155/2013/482850
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    Cited by:

    1. García, Belén & Llibre, Jaume & Pérez del Río, Jesús S., 2014. "Limit cycles of generalized Liénard polynomial differential systems via averaging theory," Chaos, Solitons & Fractals, Elsevier, vol. 62, pages 1-9.
    2. Xiong, Yanqin & Hu, Jianqiang, 2019. "A class of reversible quadratic systems with piecewise polynomial perturbations," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    3. Asheghi, R. & Bakhshalizadeh, A., 2015. "Limit cycles in a Liénard system with a cusp and a nilpotent saddle of order 7," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 120-128.

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