Abelian Integrals and Limit Cycles

• Chengzhi Li ^[1]
  1. [1] Peking University

     Peking University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 11, Nº 1, 2012 (Ejemplar dedicado a: Algebraic and Analytic Techniques for Polynomial Vector Fields), págs. 111-128
• Idioma: inglés
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• Resumen

  • This survey paper is devoted to introducing some basic concepts and methods about the application of Abelian integral to study the number of limit cycles, especially to the weak Hilbert’s 16th problem. We will introduce some recent results in this field.