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 -

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.