Persistence of Degenerate Lower Dimensional Invariant Tori in Reversible Systems with Bruno Non-degeneracy Conditions

• Yang, Xiaomei ^[1] ; Xu, Junxiang ^[1]
  1. [1] Southeast University

     Southeast University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 1, 2021
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper we consider a class of degenerate reversible systems with Bruno non-degeneracy conditions, and prove the persistence of a lower dimensional invariant torus, whose frequency vector is only a small dilation of the prescribed one.