Lyapunov Center Theorem of Infinite Dimensional Hamiltonian Systems

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Abstract

In this paper we reformulate a Lyapunov center theorem of infinite dimensional Hamiltonian systems arising from PDEs. The proof is based on a modified KAM iteration for periodic case.

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Hamiltonian systems KAM iteration small divisors lower dimensional tori.
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DOI

10.4208/ata.OA-SU9

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Lyapunov Center Theorem of Infinite Dimensional Hamiltonian Systems. (2021). Analysis in Theory and Applications, 36(3), 295-325. https://doi.org/10.4208/ata.OA-SU9