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Stickiness of KAM tori for higher dimensional beam equation

By Xiucui Song and Hongzi Cong

Abstract

This paper is concerned with the stickiness of invariant tori obtained by KAM technics (so-called KAM tori) for higher dimensional beam equation. We prove that the KAM tori are sticky, i.e. the solutions starting in the $\delta$-neighborhood of KAM torus still stay close to the KAM torus for a polynomial long time such as $|t|\leq \delta^{-\mathcal{M}}$ with any $\mathcal{M}\geq 0$, by constructing a partial normal form of higher order, which satisfies $p$-tame property, around the KAM torus.Comment: arXiv admin note: text overlap with arXiv:1404.755

Topics: Mathematics - Dynamical Systems, 37K55, 37J40, 35B35, 35Q35
Year: 2015
OAI identifier: oai:arXiv.org:1501.02654

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