The Period Function of Some Piecewise Quadratic Polynomial Hamiltonian Systems

• Panpan Zhang ^[1] ; Kuilin Wu ^[1]
  1. [1] Guizhou University

     Guizhou 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 investigate the period functions of three cases of piecewise quadratic Hamiltonian systems that possess a center at the origin. The period function of one system is monotone, while the period functions of the other two systems have at most one critical period. Moreover, we provide some bifurcation diagrams of the period function of the center at the origin and present the global phase portraits of the corresponding piecewise quadratic Hamiltonian systems.

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