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The cyclicity of a class of quadratic reversible system of genus one

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  • Shao, Yi
  • Zhao, Yulin

Abstract

In this paper, we investigate the bifurcations of limit cycles in a class of planar quadratic reversible system of genus one x˙=y+4x2,y˙=-x1-83y under quadratic perturbations. It is proved that the cyclicity of the period annulus is equal to two.

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  • Shao, Yi & Zhao, Yulin, 2011. "The cyclicity of a class of quadratic reversible system of genus one," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 827-835.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:10:p:827-835
    DOI: 10.1016/j.chaos.2011.06.015
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