TY - JOUR
T1 - Lyapunov Center Theorem of  Infinite Dimensional Hamiltonian Systems
AU - Xu , Junxiang
AU - Li , Qi
JO - Analysis in Theory and Applications
VL - 3
SP - 295
EP - 325
PY - 2020
DA - 2020/09
SN - 36
DO - http://doi.org/10.4208/ata.OA-SU9
UR - https://global-sci.org/intro/article_detail/ata/18288.html
KW - Hamiltonian systems, KAM iteration, small divisors,  lower dimensional tori.
AB - <p style="text-align: justify;">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.</p>