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On the Uniqueness of Limit Cycles in Codimension Two Bifurcations
  
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KeyWord:Uniqueness, limit cycle, bifurcation, codimension two
Author NameAffiliation
Maoan Han School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang 321004, China 
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Abstract:
      In this paper we present a survey on the uniqueness of limit cycles bifurcating from a center, homoclinic loop or a heterclinic loop in planar systems, introducing five bifurcation theorems, and then apply the theorems to the study of codimension two bifurcations, obtaining a complete analysis on the uniqueness of limit cycles.