A KAM Theorem for a Class of Reversible Systems With a Large Perturbation
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DOI: 10.1002/mma.10780
Abstract: In the present paper, for a class of reversible systems with a large nonautonomous perturbation, we prove that there is an invariant torus for almost all given Diophantine frequency vectors. As for application, we also… read more here.
Keywords: kam theorem; reversible systems; perturbation; systems large ... See more keywords
Persistence of Degenerate Lower Dimensional Invariant Tori with Prescribed Frequencies in Reversible Systems
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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 Degenerate Lower Dimensional Invariant Tori in Reversible Systems with Bruno Non-degeneracy Conditions
Sign Up to like & getrecommendations! Published in 2021 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-020-00439-5
Abstract: In this paper we consider a class of degenerate reversible systems with Bruno non-degeneracy conditions, and prove the persistence of a lower dimensional invariant torus, whose frequency vector is only a small dilation of the… read more here.
Keywords: degeneracy conditions; bruno non; non degeneracy; lower dimensional ... See more keywords