Quasiperiodic Poincare Persistence at High Degeneracy

Autor:	Qian, Weichao, Li, Yong, Yang, Xue
Rok vydání:	2021
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	For Hamiltonian systems with degeneracy of any higher order, we study the persistence of resonant invariant tori, which as some lower-dimensional invariant tori might be elliptic, hyperbolic or of mixed types. Hence we prove a quasiperiodic Poincare theorem at high degeneracy. This answers a long standing conjecture on the persistence of resonant invariant tori in quite general situations.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2111.11619 Zobrazit plný text záznamu View this record from Arxiv