Small-Amplitude Limit Cycles of Certain Planar Differential Systems

• Giné Jaume ^[1] ; Valls, Claudia ^[2]
  1. [1] Universitat de Lleida

     Universitat de Lleida

     Lérida, España

     
  2. [2] Universidade de Lisboa

     Universidade de Lisboa

     Socorro, Portugal

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 2, 2020
• Idioma: inglés
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• Resumen

  • In this work we consider the polynomial differential system x˙=-y+xf(y), y˙=x+yf(x), where f is a polynomial. This system is a certain generalization of the classical Liénard system. For that system, we solve the center problem for such family and compute the order of degeneracy of a weak focus for obtaining the maximum number of small-amplitude limit cycles.