Lyapunov Center Theorem of Infinite Dimensional Hamiltonian Systems

Year:    2020

Author:    Junxiang Xu, Qi Li

Analysis in Theory and Applications, Vol. 36 (2020), Iss. 3 : pp. 295–325

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.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Analysis in Theory and Applications, Vol. 36 (2020), Iss. 3 : pp. 295–325

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    31

Keywords:    Hamiltonian systems KAM iteration small divisors lower dimensional tori.

Author Details

Junxiang Xu

Qi Li