Persistence of the Non-twist Degenerate Lower Dimensional Invariant Torus in Reversible Systems

• Xiaomei Yang ^[1] ; Junxiang Xu ^[2]
  1. [1] Nanjing University

     Nanjing University

     China

     
  2. [2] Southeast University

     Southeast University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 5, 2024
• Idioma: inglés
• DOI: 10.1007/s12346-024-01108-7
• Enlaces
  • Texto completo
• Resumen

  • In this paper,we consider nearly integrable reversible systems,whose unperturbed part has a degenerate equilibrium point and a degenerate frequency mapping. Based on the topological degree theory and some KAM techniques, we prove that the non-twist lower dimensional invariant torus with prescribed frequencies persists under small perturbations.

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