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

Xiaomei Yang, Junxiang Xu

• 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.