Dulac Functions of Planar Vector Fields

• Jaume Giné ^[1]
  1. [1] Universitat de Lleida

     Universitat de Lleida

     Lérida, España

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 13, Nº 1, 2014, págs. 121-128
• Idioma: inglés
• DOI: 10.1007/s12346-014-0108-x
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this work we give sufficient conditions for the existence of a Dulac function for an arbitrary differential system. This Dulac function allows to discard the existence of limit cycles in its domain of definition if this domain is a simply connected region. If the domain of definition is -multiple connected then the Dulac function can estimate the number of limit cycles inside the domain.