Bifurcation of an equilibrium state of a singularly perturbed system with lag
We consider a system of singularly perturbed differential-difference equations with periodic right-hand sides. A representation of the integral manifold of this system is obtained. The bifurcation of an invariant torus from an equilibrium state and subfurcation of periodic solutions are studied.
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| Date: | 1995 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5499 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511727064449024 |
|---|---|
| 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 | 2020-03-19T09:12:10Z |
| description | We consider a system of singularly perturbed differential-difference equations with periodic right-hand sides. A representation of the integral manifold of this system is obtained. The bifurcation of an invariant torus from an equilibrium state and subfurcation of periodic solutions are studied. |
| first_indexed | 2026-03-24T03:17:29Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5499 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:17:29Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a4/3ba45cbab6449e525afe86519834ffa4.pdf |
| spelling | umjimathkievua-article-54992020-03-19T09:12:10Z Bifurcation of an equilibrium state of a singularly perturbed system with lag Біфуркація стану рівноваги сингулярно збуреної системи із загаюванням Klevchuk, I. I. Клевчук, І. І. We consider a system of singularly perturbed differential-difference equations with periodic right-hand sides. A representation of the integral manifold of this system is obtained. The bifurcation of an invariant torus from an equilibrium state and subfurcation of periodic solutions are studied. Розглядається система сингулярно збурених диференціально-різницевих рівнянь з періодичною правою частиною. Одержано зображення інтегрального многовиду цієї системи, досліджена біфуркація інваріантного тора із стану рівноваги та субфуркація періодичних розв'язків. Institute of Mathematics, NAS of Ukraine 1995-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5499 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 8 (1995); 1022–1028 Український математичний журнал; Том 47 № 8 (1995); 1022–1028 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5499/7687 https://umj.imath.kiev.ua/index.php/umj/article/view/5499/7688 Copyright (c) 1995 Klevchuk I. I. |
| spellingShingle | Klevchuk, I. I. Клевчук, І. І. Bifurcation of an equilibrium state of a singularly perturbed system with lag |
| title | Bifurcation of an equilibrium state of a singularly perturbed system with lag |
| title_alt | Біфуркація стану рівноваги сингулярно збуреної системи із загаюванням |
| title_full | Bifurcation of an equilibrium state of a singularly perturbed system with lag |
| title_fullStr | Bifurcation of an equilibrium state of a singularly perturbed system with lag |
| title_full_unstemmed | Bifurcation of an equilibrium state of a singularly perturbed system with lag |
| title_short | Bifurcation of an equilibrium state of a singularly perturbed system with lag |
| title_sort | bifurcation of an equilibrium state of a singularly perturbed system with lag |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5499 |
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