Topological aspects of dynamical systems on manifolds
Necessary and sufficient conditions are presented for the existence of dynamical systems on manifolds, for which the set of nonwandering points consists of a disconnected union of 2-dimensional tori with a hyperbolic structure.
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| Date: | 1993 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5878 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512098160738304 |
|---|---|
| author | Sharko, V. V. Шарко, В. В. Шарко, В. В. |
| author_facet | Sharko, V. V. Шарко, В. В. Шарко, В. В. |
| author_sort | Sharko, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:19:41Z |
| description | Necessary and sufficient conditions are presented for the existence of dynamical systems on manifolds, for which the set of nonwandering points consists of a disconnected union of 2-dimensional tori with a hyperbolic structure. |
| first_indexed | 2026-03-24T03:23:23Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5878 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:23Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/0c/6c7bb215e7d92c5ca88366cdb0e0870c.pdf |
| spelling | umjimathkievua-article-58782020-03-19T09:19:41Z Topological aspects of dynamical systems on manifolds Топологические аспекты динамических систем на многообразиях Sharko, V. V. Шарко, В. В. Шарко, В. В. Necessary and sufficient conditions are presented for the existence of dynamical systems on manifolds, for which the set of nonwandering points consists of a disconnected union of 2-dimensional tori with a hyperbolic structure. Дано необхідні та достатні умови існування на многовидах динамічних систем, у яких множина неблукаючих точок складається з незв’язного об’єднання двовимірних торів з гіперболічною структурою. Institute of Mathematics, NAS of Ukraine 1993-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5878 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 6 (1993); 876–878 Український математичний журнал; Том 45 № 6 (1993); 876–878 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5878/8439 https://umj.imath.kiev.ua/index.php/umj/article/view/5878/8440 Copyright (c) 1993 Sharko V. V. |
| spellingShingle | Sharko, V. V. Шарко, В. В. Шарко, В. В. Topological aspects of dynamical systems on manifolds |
| title | Topological aspects of dynamical systems on manifolds |
| title_alt | Топологические аспекты динамических систем на многообразиях |
| title_full | Topological aspects of dynamical systems on manifolds |
| title_fullStr | Topological aspects of dynamical systems on manifolds |
| title_full_unstemmed | Topological aspects of dynamical systems on manifolds |
| title_short | Topological aspects of dynamical systems on manifolds |
| title_sort | topological aspects of dynamical systems on manifolds |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5878 |
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