Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings
For two-dimensional discontinuous dynamical systems, we investigate properties of the Poincaré map by the method of pointwise mappings and establish a criterion for the stability of n-impulse cycles and an estimate for the number of sinks.
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| Datum: | 2004 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3732 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509865095462912 |
|---|---|
| author | Urmanchev, V. I. Урманчев, В. И. Урманчев, В. И. |
| author_facet | Urmanchev, V. I. Урманчев, В. И. Урманчев, В. И. |
| author_sort | Urmanchev, V. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:05:58Z |
| description | For two-dimensional discontinuous dynamical systems, we investigate properties of the Poincaré map by the method of pointwise mappings and establish a criterion for the stability of n-impulse cycles and an estimate for the number of sinks. |
| first_indexed | 2026-03-24T02:47:53Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3732 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:47:53Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/0e/8e3882214aec13b0ce166ce01204cf0e.pdf |
| spelling | umjimathkievua-article-37322020-03-18T20:05:58Z Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings Качественное исследование разрывных динамических систем на плоскости с помощью метода точечных отображений Urmanchev, V. I. Урманчев, В. И. Урманчев, В. И. For two-dimensional discontinuous dynamical systems, we investigate properties of the Poincaré map by the method of pointwise mappings and establish a criterion for the stability of n-impulse cycles and an estimate for the number of sinks. Для двовимірних розривних динамічних систем методом точкових відображень досліджено властивості функції відображення Пуанкаре та отримано критерій стійкості n-імпульсішх циклів і оцінку для числа стоків. Institute of Mathematics, NAS of Ukraine 2004-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3732 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 1 (2004); 108-118 Український математичний журнал; Том 56 № 1 (2004); 108-118 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3732/4188 https://umj.imath.kiev.ua/index.php/umj/article/view/3732/4189 Copyright (c) 2004 Urmanchev V. I. |
| spellingShingle | Urmanchev, V. I. Урманчев, В. И. Урманчев, В. И. Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings |
| title | Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings |
| title_alt | Качественное исследование разрывных динамических систем
на плоскости с помощью метода точечных отображений |
| title_full | Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings |
| title_fullStr | Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings |
| title_full_unstemmed | Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings |
| title_short | Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings |
| title_sort | qualitative investigation of discontinuous dynamical systems on a plane by the method of pointwise mappings |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3732 |
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