Journal of East China Normal University(Natural Sc ›› 2011, Vol. 2011 ›› Issue (3): 44-53.

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Study of limit cycles for some non-smooth Lienard systems

YANG Lu; LIU Xia;XING Ye-peng   

  1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
  • Received:2010-05-01 Revised:2010-08-01 Online:2011-05-25 Published:2011-05-25
  • Contact: XING Ye-peng

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Abstract: Algebraic method was used to study the Hopf cyclicity of non-smooth Lienard systems on the plain. Some new formulas for computing focus values were presented. Based on the formulas, the number of limit cycles bifurcating from some non-smooth Lienard systems was obtained. The results improve the known results.

Key words: non-smooth, limit cycle, Hopf cyclicity, Lienard systems, non-smooth, limit cycle, Hopf cyclicity

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