On Hopf Bifurcation in Piecewise Smooth Near-Hamiltonian Systems

• Maoan Han ^[1] ; Zening Lai ^[1]
  1. [1] Zhejiang Normal University

     Zhejiang Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 5, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we study Hopf bifurcation for planar piecewise smooth near-Hamiltonian systems with an elementary center, and obtain some new properties of the first order Melnikov function. As an application, we give upper and lower bounds of the maximum number of limit cycles of a piecewise polynomial system near the elementary center.

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