Lyapunov Center Theorem of Infinite Dimensional Hamiltonian Systems

Authors

  • Junxiang Xu
  • Qi Li

DOI:

https://doi.org/10.4208/ata.OA-SU9

Keywords:

Hamiltonian systems, KAM iteration, small divisors, lower dimensional tori.

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.

Published

2021-09-20

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Section

Articles

How to Cite

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