Scholarlink

<p>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.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The Period Function of Some Piecewise Quadratic Polynomial Hamiltonian Systems

  • 期刊论文

  • 发表日期：

    2025年10月3日

查看全文
  • Panpan Zhang,
  • Kuilin Wu

摘要

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.