Persistence of Multiscale Degenerate Invariant Tori in Reversible Systems with Degenerate Frequency Mapping
摘要
This paper considers a class of nearly integrable reversible systemswhose unperturbed part has a degenerate frequency mapping and a degenerate equilibrium point.Based on some KAM techniquesand the topological degree theory, we prove the persistence of multiscale degenerate hyperbolic lower-dimensional invariant tori with prescribed frequencies.