On the existence of discontinuous limit cycles for one system of differential equations with pulse influence
For one system of differential equations with pulse influence, we establish conditions under which a positive root of the equation for stationary amplitudes obtained from equations of the first approximation generates a discontinuous limit cycle. We construct improved first approximations for the sy...
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| Date: | 1997 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5105 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511302208716800 |
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| author | Gorbachuk, T. V. Perestyuk, N. A. Горбачук, Т. В. Перестюк, М. О. |
| author_facet | Gorbachuk, T. V. Perestyuk, N. A. Горбачук, Т. В. Перестюк, М. О. |
| author_sort | Gorbachuk, T. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:24:43Z |
| description | For one system of differential equations with pulse influence, we establish conditions under which a positive root of the equation for stationary amplitudes obtained from equations of the first approximation generates a discontinuous limit cycle. We construct improved first approximations for the system under consideration. |
| first_indexed | 2026-03-24T03:10:44Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5105 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:10:44Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/01/4e0a44ea5aa6b2aebc0711e1d26ca101.pdf |
| spelling | umjimathkievua-article-51052020-03-18T21:24:43Z On the existence of discontinuous limit cycles for one system of differential equations with pulse influence Про існування розривних граничних циклів однієї системи дифереиціальних рівнянь з імпульсним збуренням Gorbachuk, T. V. Perestyuk, N. A. Горбачук, Т. В. Перестюк, М. О. For one system of differential equations with pulse influence, we establish conditions under which a positive root of the equation for stationary amplitudes obtained from equations of the first approximation generates a discontinuous limit cycle. We construct improved first approximations for the system under consideration. Для однієї системи з імпульсним збуренням встановлено умови, за яких додатний корінь рівняння спиці опарних амплітуд, отриманого з рівнянь перших наближень, породжує розривний граничний цикл. Побудовано покращені перші наближення для цієї системи. Institute of Mathematics, NAS of Ukraine 1997-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5105 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 8 (1997); 1127–1134 Український математичний журнал; Том 49 № 8 (1997); 1127–1134 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5105/6906 https://umj.imath.kiev.ua/index.php/umj/article/view/5105/6907 Copyright (c) 1997 Gorbachuk T. V.; Perestyuk N. A. |
| spellingShingle | Gorbachuk, T. V. Perestyuk, N. A. Горбачук, Т. В. Перестюк, М. О. On the existence of discontinuous limit cycles for one system of differential equations with pulse influence |
| title | On the existence of discontinuous limit cycles for one system of differential equations with pulse influence |
| title_alt | Про існування розривних граничних циклів однієї системи дифереиціальних рівнянь з імпульсним збуренням |
| title_full | On the existence of discontinuous limit cycles for one system of differential equations with pulse influence |
| title_fullStr | On the existence of discontinuous limit cycles for one system of differential equations with pulse influence |
| title_full_unstemmed | On the existence of discontinuous limit cycles for one system of differential equations with pulse influence |
| title_short | On the existence of discontinuous limit cycles for one system of differential equations with pulse influence |
| title_sort | on the existence of discontinuous limit cycles for one system of differential equations with pulse influence |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5105 |
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