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
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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.