A KAM Theorem for Lower Dimensional Elliptic Invariant Tori of Nearly Integrable Symplectic Mappings
This paper develops a new KAM theorem for a class of lower dimensional elliptic invariant tori of nearly integrable symplectic mappings with generating functions but without assuming any nondegenerate condition.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/3719395 |
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| _version_ | 1850164659204653056 |
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| author | Shunjun Jiang |
| author_facet | Shunjun Jiang |
| author_sort | Shunjun Jiang |
| collection | DOAJ |
| description | This paper develops a new KAM theorem for a class of lower dimensional elliptic invariant tori of nearly integrable symplectic mappings with generating functions but without assuming any nondegenerate condition. |
| format | Article |
| id | doaj-art-ea0eabc1e9fe469e9c04ecf81f35632a |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ea0eabc1e9fe469e9c04ecf81f35632a2025-08-20T02:21:54ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/37193953719395A KAM Theorem for Lower Dimensional Elliptic Invariant Tori of Nearly Integrable Symplectic MappingsShunjun Jiang0College of Sciences, Nanjing Tech University, Nanjing 210009, ChinaThis paper develops a new KAM theorem for a class of lower dimensional elliptic invariant tori of nearly integrable symplectic mappings with generating functions but without assuming any nondegenerate condition.http://dx.doi.org/10.1155/2017/3719395 |
| spellingShingle | Shunjun Jiang A KAM Theorem for Lower Dimensional Elliptic Invariant Tori of Nearly Integrable Symplectic Mappings Journal of Function Spaces |
| title | A KAM Theorem for Lower Dimensional Elliptic Invariant Tori of Nearly Integrable Symplectic Mappings |
| title_full | A KAM Theorem for Lower Dimensional Elliptic Invariant Tori of Nearly Integrable Symplectic Mappings |
| title_fullStr | A KAM Theorem for Lower Dimensional Elliptic Invariant Tori of Nearly Integrable Symplectic Mappings |
| title_full_unstemmed | A KAM Theorem for Lower Dimensional Elliptic Invariant Tori of Nearly Integrable Symplectic Mappings |
| title_short | A KAM Theorem for Lower Dimensional Elliptic Invariant Tori of Nearly Integrable Symplectic Mappings |
| title_sort | kam theorem for lower dimensional elliptic invariant tori of nearly integrable symplectic mappings |
| url | http://dx.doi.org/10.1155/2017/3719395 |
| work_keys_str_mv | AT shunjunjiang akamtheoremforlowerdimensionalellipticinvarianttoriofnearlyintegrablesymplecticmappings AT shunjunjiang kamtheoremforlowerdimensionalellipticinvarianttoriofnearlyintegrablesymplecticmappings |