Persistence of Degenerate Lower Dimensional Invariant Tori with Prescribed Frequencies in Reversible Systems
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-021-09989-x
Abstract: This paper considers small perturbations of an integrable reversible system which has a degenerated lower dimensional invariant torus in some sense. In the presence of some higher-order terms, by some KAM technique and the stability… read more here.
Keywords: prescribed frequencies; lower dimensional; persistence degenerate; reversible systems ... See more keywords
Persistence of lower dimensional invariant tori in a class of reversible systems
Sign Up to like & getrecommendations! Published in 2018 at "Dynamical Systems"
DOI: 10.1080/14689367.2017.1298725
Abstract: ABSTRACT In this paper we prove the persistence of lower dimensional invariant tori for a class of reversible systems without any non-degeneracy condition. In the proof, we use the special nature that the dimension of… read more here.
Keywords: lower dimensional; invariant tori; persistence lower; dimensional invariant ... See more keywords
Persistence of Hyperbolic-type Degenerate Lower-dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems
Sign Up to like & getrecommendations! Published in 2020 at "Regular and Chaotic Dynamics"
DOI: 10.1134/s1560354720060088
Abstract: It is known that under Kolmogorov’s nondegeneracy condition, the nondegenerate hyperbolic invariant torus with Diophantine frequencies will persist under small perturbations, meaning that the perturbed system still has an invariant torus with prescribed frequencies. However,… read more here.
Keywords: prescribed frequencies; lower dimensional; hyperbolic type; type degenerate ... See more keywords