Persistence of Multiscale Degenerate Invariant Tori in Reversible Systems with Degenerate Frequency Mapping

This paper considers a class of nearly integrable reversible systems whose unperturbed part has a degenerate frequency mapping and a degenerate equilibrium point. Based on some KAM techniques and the topological degree theory, we prove the persistence of multiscale degenerate hyperbolic lower-dimens...

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Bibliographic Details
Published inRegular & chaotic dynamics Vol. 29; no. 4; pp. 605 - 619
Main Authors Yang, Xiaomei, Xu, Junxiang
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.08.2024
Springer Nature B.V
Subjects
Dynamical Systems and Ergodic Theory
Invariants
Mapping
Mathematics
Mathematics and Statistics
Toruses
lower-dimensional invariant tori
degenerate equilibrium point
reversible system
KAM iteration
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Summary:This paper considers a class of nearly integrable reversible systems whose unperturbed part has a degenerate frequency mapping and a degenerate equilibrium point. Based on some KAM techniques and the topological degree theory, we prove the persistence of multiscale degenerate hyperbolic lower-dimensional invariant tori with prescribed frequencies.
ISSN:1560-3547
1560-3547
1468-4845
DOI:10.1134/S1560354724040051