Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I
Hamiltonian systems invariant under the non-Poisson torus action are studied on a symplectic manifold. Conditions are established under which coisotropic invariant tori filled with quasiperiodic motions exist in these systems.
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5717 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511943242022912 |
|---|---|
| author | Parasyuk, I. O. Парасюк, І. О. |
| author_facet | Parasyuk, I. O. Парасюк, І. О. |
| author_sort | Parasyuk, I. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:22Z |
| description | Hamiltonian systems invariant under the non-Poisson torus action are studied on a symplectic manifold. Conditions are established under which coisotropic invariant tori filled with quasiperiodic motions exist in these systems. |
| first_indexed | 2026-03-24T03:20:55Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5717 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:20:55Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b8/17b47ac4b9a719999c652433f146e0b8.pdf |
| spelling | umjimathkievua-article-57172020-03-19T09:16:22Z Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I Редукція та коізотропні інваріантні тори гамільтонових систем з непуассоновими комутативними симетріями. І Parasyuk, I. O. Парасюк, І. О. Hamiltonian systems invariant under the non-Poisson torus action are studied on a symplectic manifold. Conditions are established under which coisotropic invariant tori filled with quasiperiodic motions exist in these systems. На симплектичному многовиді розглядаються гамільтонові системи, інваріантні відносно непуассонової дії тора. Виявлені умови існування у таких систем коізотропних інваріантних торів, заповнених квазіперіодичними рухами. Institute of Mathematics, NAS of Ukraine 1994-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5717 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 5 (1994); 537–544 Український математичний журнал; Том 46 № 5 (1994); 537–544 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5717/8119 https://umj.imath.kiev.ua/index.php/umj/article/view/5717/8120 Copyright (c) 1994 Parasyuk I. O. |
| spellingShingle | Parasyuk, I. O. Парасюк, І. О. Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I |
| title | Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I |
| title_alt | Редукція та коізотропні інваріантні тори гамільтонових систем з непуассоновими комутативними симетріями. І |
| title_full | Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I |
| title_fullStr | Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I |
| title_full_unstemmed | Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I |
| title_short | Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I |
| title_sort | reduction and coisotropic invariant tori of hamiltonian systems with non-poisson commutative symmetries. i |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5717 |
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