Finding Limit Cycles Near A Double Heteroclinic Loop on the Cylinder

• Meilan Cai ^[1] ; Maoan Han ^[2]
  1. [1] Linyi University

     Linyi University

     China

     
  2. [2] Zhejiang Normal University

     Zhejiang Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 4, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we consider the simultaneous bifurcation problem of limit cycles of types I and II near a double heteroclinic loop for a cylinder near-Hamiltonian system.

    We obtain a lower bound of the maximal number of limit cycles near the double heteroclinic loop by using four different Melnikov functions.We also study the number of limit cycles of a class of cylinder near-Hamiltonian systems as an application of our main results.

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