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arXiv · 1501.02654

Stickiness of KAM tori for higher dimensional beam equation

Xiucui Song·Hongzi Cong
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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 $δ$-neighborhood of KAM torus still stay close to the KAM torus for a polynomial long time such as $|t|\leq δ^{-\mathcal{M}}$ with any $\mathcal{M}\geq 0$, by constructing a partial normal form of higher order, which satisfies $p$-tame property, around the KAM torus.

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Xiucui Song, Hongzi Cong. 2015-01-12. Stickiness of KAM tori for higher dimensional beam equation. https://arxiv.org/abs/1501.02654

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