On the problem of estimation of the number of cycles in two-dimensional quadratic systems from the viewpoint of nonlinear mechanics
Two-dimensional quadratic systems are considered as a Liénard equation with certain special nonlinearities. Theorems on the existence or absence of cycles are given.
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| Дата: | 1998 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1998
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4971 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511167562121216 |
|---|---|
| author | Leonov, G. A. Леонов, Г. А. Леонов, Г. А. |
| author_facet | Leonov, G. A. Леонов, Г. А. Леонов, Г. А. |
| author_sort | Leonov, G. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:21:24Z |
| description | Two-dimensional quadratic systems are considered as a Liénard equation with certain special nonlinearities. Theorems on the existence or absence of cycles are given. |
| first_indexed | 2026-03-24T03:08:35Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4971 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:08:35Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f5/0731d714a06cb9919d37b534882627f5.pdf |
| spelling | umjimathkievua-article-49712020-03-18T21:21:24Z On the problem of estimation of the number of cycles in two-dimensional quadratic systems from the viewpoint of nonlinear mechanics Проблема оценки числа циклов двумерных квадратичных систем с точки зрения нелинейной механики Leonov, G. A. Леонов, Г. А. Леонов, Г. А. Two-dimensional quadratic systems are considered as a Liénard equation with certain special nonlinearities. Theorems on the existence or absence of cycles are given. Викладено точку зору на двовимірні квадратичні системи як па рівняння Льєнара з деякими спеціальними нелінійностями. Наведено теореми про існування та відсутність циклів. Institute of Mathematics, NAS of Ukraine 1998-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4971 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 1 (1998); 48–57 Український математичний журнал; Том 50 № 1 (1998); 48–57 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4971/6641 https://umj.imath.kiev.ua/index.php/umj/article/view/4971/6642 Copyright (c) 1998 Leonov G. A. |
| spellingShingle | Leonov, G. A. Леонов, Г. А. Леонов, Г. А. On the problem of estimation of the number of cycles in two-dimensional quadratic systems from the viewpoint of nonlinear mechanics |
| title | On the problem of estimation of the number of cycles in two-dimensional quadratic systems from the viewpoint of nonlinear mechanics |
| title_alt | Проблема оценки числа циклов двумерных квадратичных систем с точки зрения нелинейной механики |
| title_full | On the problem of estimation of the number of cycles in two-dimensional quadratic systems from the viewpoint of nonlinear mechanics |
| title_fullStr | On the problem of estimation of the number of cycles in two-dimensional quadratic systems from the viewpoint of nonlinear mechanics |
| title_full_unstemmed | On the problem of estimation of the number of cycles in two-dimensional quadratic systems from the viewpoint of nonlinear mechanics |
| title_short | On the problem of estimation of the number of cycles in two-dimensional quadratic systems from the viewpoint of nonlinear mechanics |
| title_sort | on the problem of estimation of the number of cycles in two-dimensional quadratic systems from the viewpoint of nonlinear mechanics |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4971 |
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