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Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings
This paper provides a normal form for a class of lower dimensional hyperbolic invariant tori of nearly integrable symplectic mappings with generating functions. We prove the persistence and the Gevrey-smoothness of the invariant tori under some conditions.
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer International Publishing
2017
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5306262/ https://www.ncbi.nlm.nih.gov/pubmed/28250692 http://dx.doi.org/10.1186/s13660-017-1307-1 |
| _version_ | 1782507164032565248 |
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| author | Jiang, Shunjun |
| author_facet | Jiang, Shunjun |
| author_sort | Jiang, Shunjun |
| collection | PubMed |
| description | This paper provides a normal form for a class of lower dimensional hyperbolic invariant tori of nearly integrable symplectic mappings with generating functions. We prove the persistence and the Gevrey-smoothness of the invariant tori under some conditions. |
| format | Online Article Text |
| id | pubmed-5306262 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2017 |
| publisher | Springer International Publishing |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-53062622017-02-27 Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings Jiang, Shunjun J Inequal Appl Research This paper provides a normal form for a class of lower dimensional hyperbolic invariant tori of nearly integrable symplectic mappings with generating functions. We prove the persistence and the Gevrey-smoothness of the invariant tori under some conditions. Springer International Publishing 2017-02-07 2017 /pmc/articles/PMC5306262/ /pubmed/28250692 http://dx.doi.org/10.1186/s13660-017-1307-1 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| spellingShingle | Research Jiang, Shunjun Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings |
| title | Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings |
| title_full | Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings |
| title_fullStr | Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings |
| title_full_unstemmed | Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings |
| title_short | Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings |
| title_sort | gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings |
| topic | Research |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5306262/ https://www.ncbi.nlm.nih.gov/pubmed/28250692 http://dx.doi.org/10.1186/s13660-017-1307-1 |
| work_keys_str_mv | AT jiangshunjun gevreysmoothnessoflowerdimensionalhyperbolicinvarianttorifornearlyintegrablesymplecticmappings |