Investigation of a discrete dynamical system in a neighborhood of the invariant torus
We study the behavior of a discrete dynamical system in a neighborhood of the invariant torus for the case where the trajectories may have arbitrary structure on the torus and establish conditions under which the system can be reduced to the canonical form in the indicated neighborhood.
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| Datum: | 1995 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5561 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511794061115392 |
|---|---|
| author | Samoilenko, M. V. Самойленко, М. В. |
| author_facet | Samoilenko, M. V. Самойленко, М. В. |
| author_sort | Samoilenko, M. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:13:33Z |
| description | We study the behavior of a discrete dynamical system in a neighborhood of the invariant torus for the case where the trajectories may have arbitrary structure on the torus and establish conditions under which the system can be reduced to the canonical form in the indicated neighborhood. |
| first_indexed | 2026-03-24T03:18:33Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5561 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:18:33Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1d/eaf167a11e6cea260b4c5cc82c78531d.pdf |
| spelling | umjimathkievua-article-55612020-03-19T09:13:33Z Investigation of a discrete dynamical system in a neighborhood of the invariant torus Дослідження дискретної динамічної системи в околі інваріантного тору Samoilenko, M. V. Самойленко, М. В. We study the behavior of a discrete dynamical system in a neighborhood of the invariant torus for the case where the trajectories may have arbitrary structure on the torus and establish conditions under which the system can be reduced to the canonical form in the indicated neighborhood. Досліджується поведінка дискретної динамічної системи в околі інваріантного тору у випадку, коли траєкторії на ньому мають довільну структуру. Наведено умови, за яких система в такому околі зводиться до канонічного виду. Institute of Mathematics, NAS of Ukraine 1995-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5561 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 12 (1995); 1676–1685 Український математичний журнал; Том 47 № 12 (1995); 1676–1685 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5561/7810 https://umj.imath.kiev.ua/index.php/umj/article/view/5561/7811 Copyright (c) 1995 Samoilenko M. V. |
| spellingShingle | Samoilenko, M. V. Самойленко, М. В. Investigation of a discrete dynamical system in a neighborhood of the invariant torus |
| title | Investigation of a discrete dynamical system in a neighborhood of the invariant torus |
| title_alt | Дослідження дискретної динамічної системи в околі інваріантного тору |
| title_full | Investigation of a discrete dynamical system in a neighborhood of the invariant torus |
| title_fullStr | Investigation of a discrete dynamical system in a neighborhood of the invariant torus |
| title_full_unstemmed | Investigation of a discrete dynamical system in a neighborhood of the invariant torus |
| title_short | Investigation of a discrete dynamical system in a neighborhood of the invariant torus |
| title_sort | investigation of a discrete dynamical system in a neighborhood of the invariant torus |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5561 |
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