Volume 36, Issue 3
Lyapunov Center Theorem of Infinite Dimensional Hamiltonian Systems

Junxiang Xu & Qi Li

Anal. Theory Appl., 36 (2020), pp. 295-325.

Published online: 2020-09

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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.

  • Keywords

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

  • AMS Subject Headings

37K55, 35B10, 35J10, 35Q40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-36-295, author = {Junxiang Xu , and Qi Li , }, title = {Lyapunov Center Theorem of Infinite Dimensional Hamiltonian Systems}, journal = {Analysis in Theory and Applications}, year = {2020}, volume = {36}, number = {3}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-SU9}, url = {http://global-sci.org/intro/article_detail/ata/18288.html} }
TY - JOUR T1 - Lyapunov Center Theorem of Infinite Dimensional Hamiltonian Systems AU - Junxiang Xu , AU - Qi Li , 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.

Junxiang Xu & Qi Li. (2020). Lyapunov Center Theorem of Infinite Dimensional Hamiltonian Systems. Analysis in Theory and Applications. 36 (3). 295-325. doi:10.4208/ata.OA-SU9
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