4.5 Article

NON-FLOQUET INVARIANT TORI IN REVERSIBLE SYSTEMS

Journal

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 38, Issue 7, Pages 3439-3457

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2018147

Keywords

Reversible systems; KAM iteration; non-floquet invariant tori; hyperbolic-type degenerate invariant tori

Funding

  1. National Natural Science Foundation of China [11501234]

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In this paper we obtain a theorem about the persistence of non-floquet invariant tori of analytic reversible systems by an improved KAM iteration. This theorem can be applied to solve the persistence problem of completely hyperbolic-type degenerate invariant tori for a class of reversible system.

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