Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay
We obtain a representation of the integral manifold of a system of singularly perturbed differential-difference equations with periodic right-hand side. We show that, under certain conditions imposed on the right-hand side, the Poincaré map for the perturbed system has a transversal homoclinic point...
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| Date: | 2002 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4093 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510226208260096 |
|---|---|
| author | Klevchuk, I. I. Клевчук, І. І. |
| author_facet | Klevchuk, I. I. Клевчук, І. І. |
| author_sort | Klevchuk, I. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:22:24Z |
| description | We obtain a representation of the integral manifold of a system of singularly perturbed differential-difference equations with periodic right-hand side. We show that, under certain conditions imposed on the right-hand side, the Poincaré map for the perturbed system has a transversal homoclinic point. |
| first_indexed | 2026-03-24T02:53:38Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4093 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:53:38Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e0/5786b941226261e7a057535af5f10be0.pdf |
| spelling | umjimathkievua-article-40932020-03-18T20:22:24Z Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay Гомокліпічні точки для сингулярно збуреної системи диференціальних рівнянь із запізненням Klevchuk, I. I. Клевчук, І. І. We obtain a representation of the integral manifold of a system of singularly perturbed differential-difference equations with periodic right-hand side. We show that, under certain conditions imposed on the right-hand side, the Poincaré map for the perturbed system has a transversal homoclinic point. Одержано зображення інтегрального многовиду системи сингулярно збурених диференціально-різницевих рівнянь з періодичною правою частиною. Показано, що при відповідних умовах на праву частину відображення Пуанкаре для збуреної системи має трансверсальну гомоклінічну точку. Institute of Mathematics, NAS of Ukraine 2002-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4093 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 4 (2002); 563-567 Український математичний журнал; Том 54 № 4 (2002); 563-567 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4093/4896 https://umj.imath.kiev.ua/index.php/umj/article/view/4093/4897 Copyright (c) 2002 Klevchuk I. I. |
| spellingShingle | Klevchuk, I. I. Клевчук, І. І. Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay |
| title | Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay |
| title_alt | Гомокліпічні точки для сингулярно збуреної системи диференціальних
рівнянь із запізненням |
| title_full | Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay |
| title_fullStr | Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay |
| title_full_unstemmed | Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay |
| title_short | Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay |
| title_sort | homoclinic points for a singularly perturbed system of differential equations with delay |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4093 |
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