Scholarlink

<p>In this article, we study local and global bifurcations of non-stationary periodic solutions of autonomous Hamiltonian systems modeling the motion of non-planar planetary rings. We emphasize that our study also includes non-stationary periodic solutions of these systems, which bifurcate from the manifolds of equilibria. Notably, these equilibria are not isolated. To prove our main results, we apply the symmetric Liapunov’s center theorem (see Theorem <InternalRef RefID="FPar9">2.1.9</InternalRef>) and the Global bifurcation theorem for autonomous Hamiltonian systems (see Theorem <InternalRef RefID="FPar19">2.2.10</InternalRef>).</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

Global branches of non-planar periodic motions of planetary rings

  • 期刊论文

  • 发表日期：

    2026年3月22日

查看全文
  • Igor Białecki,
  • Sławomir Rybicki

摘要

In this article, we study local and global bifurcations of non-stationary periodic solutions of autonomous Hamiltonian systems modeling the motion of non-planar planetary rings. We emphasize that our study also includes non-stationary periodic solutions of these systems, which bifurcate from the manifolds of equilibria. Notably, these equilibria are not isolated. To prove our main results, we apply the symmetric Liapunov’s center theorem (see Theorem 2.1.9) and the Global bifurcation theorem for autonomous Hamiltonian systems (see Theorem 2.2.10).