Existence and stability of periodic solutions for chains of connected oscillators
We consider a nonlinear system of difference equations. This system corresponds to chains of N symmetrically connected oscillators with sufficiently general type of connection, which includes, among others, local and global connection. We prove a theorem on the existence and stability of space-time...
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| Datum: | 1997 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5085 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511280989732864 |
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| author | Maistrenko, Yu. L. Popovich, O. V. Майстренко, Ю. Л. Попович, О. В. |
| author_facet | Maistrenko, Yu. L. Popovich, O. V. Майстренко, Ю. Л. Попович, О. В. |
| author_sort | Maistrenko, Yu. L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:24:22Z |
| description | We consider a nonlinear system of difference equations. This system corresponds to chains of N symmetrically connected oscillators with sufficiently general type of connection, which includes, among others, local and global connection. We prove a theorem on the existence and stability of space-time periodic solutions of such systems for sufficiently small values of the parameter of connection ɛ. |
| first_indexed | 2026-03-24T03:10:24Z |
| format | Article |
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| id | umjimathkievua-article-5085 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:10:24Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d4/139573d5be612ddb7ff2490fd1c71ad4.pdf |
| spelling | umjimathkievua-article-50852020-03-18T21:24:22Z Existence and stability of periodic solutions for chains of connected oscillators Існування та стійкість періодичних розв'язків ланцюгів зв'язаних осциляторів Maistrenko, Yu. L. Popovich, O. V. Майстренко, Ю. Л. Попович, О. В. We consider a nonlinear system of difference equations. This system corresponds to chains of N symmetrically connected oscillators with sufficiently general type of connection, which includes, among others, local and global connection. We prove a theorem on the existence and stability of space-time periodic solutions of such systems for sufficiently small values of the parameter of connection ɛ. Розглядається нелінійна система різницевих рівнянь, що відповідає ланцюгам із N Institute of Mathematics, NAS of Ukraine 1997-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5085 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 7 (1997); 943–950 Український математичний журнал; Том 49 № 7 (1997); 943–950 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5085/6867 https://umj.imath.kiev.ua/index.php/umj/article/view/5085/6868 Copyright (c) 1997 Maistrenko Yu. L.; Popovich O. V. |
| spellingShingle | Maistrenko, Yu. L. Popovich, O. V. Майстренко, Ю. Л. Попович, О. В. Existence and stability of periodic solutions for chains of connected oscillators |
| title | Existence and stability of periodic solutions for chains of connected oscillators |
| title_alt | Існування та стійкість періодичних розв'язків
ланцюгів зв'язаних осциляторів |
| title_full | Existence and stability of periodic solutions for chains of connected oscillators |
| title_fullStr | Existence and stability of periodic solutions for chains of connected oscillators |
| title_full_unstemmed | Existence and stability of periodic solutions for chains of connected oscillators |
| title_short | Existence and stability of periodic solutions for chains of connected oscillators |
| title_sort | existence and stability of periodic solutions for chains of connected oscillators |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5085 |
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