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