The account of delay in a connecting element between two oscillators
Dynamics of two diffusion coupled close oscillators occuring in nerve cell simulation is considered. The delay of passage the pulse in the connecting element between the oscillators is taken into account. For parameters close to critical values the normal form for amplitude and phase variables is co...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2010-06-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/1034 |
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| _version_ | 1849688255539183616 |
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| author | S. D. Glyzin E. O. Kiseleva |
| author_facet | S. D. Glyzin E. O. Kiseleva |
| author_sort | S. D. Glyzin |
| collection | DOAJ |
| description | Dynamics of two diffusion coupled close oscillators occuring in nerve cell simulation is considered. The delay of passage the pulse in the connecting element between the oscillators is taken into account. For parameters close to critical values the normal form for amplitude and phase variables is constructed. Phase reconstructions of the normal form when changing the parameters describing connection element are analyzed. It is shown that, the introduction of delay leads to significant changes in the scenario of phase reconstructions. |
| format | Article |
| id | doaj-art-7a9000b3a4504cc9be236459ccb3a09c |
| institution | DOAJ |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2010-06-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-7a9000b3a4504cc9be236459ccb3a09c2025-08-20T03:22:04ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172010-06-01172133143775The account of delay in a connecting element between two oscillatorsS. D. Glyzin0E. O. Kiseleva1Ярославский государственный университет им. П.Г. ДемидоваЯрославский государственный университет им. П.Г. ДемидоваDynamics of two diffusion coupled close oscillators occuring in nerve cell simulation is considered. The delay of passage the pulse in the connecting element between the oscillators is taken into account. For parameters close to critical values the normal form for amplitude and phase variables is constructed. Phase reconstructions of the normal form when changing the parameters describing connection element are analyzed. It is shown that, the introduction of delay leads to significant changes in the scenario of phase reconstructions.https://www.mais-journal.ru/jour/article/view/1034autooscillationsdelaynormal formlyapunov's exponentsbifurcationssynchronization |
| spellingShingle | S. D. Glyzin E. O. Kiseleva The account of delay in a connecting element between two oscillators Моделирование и анализ информационных систем autooscillations delay normal form lyapunov's exponents bifurcations synchronization |
| title | The account of delay in a connecting element between two oscillators |
| title_full | The account of delay in a connecting element between two oscillators |
| title_fullStr | The account of delay in a connecting element between two oscillators |
| title_full_unstemmed | The account of delay in a connecting element between two oscillators |
| title_short | The account of delay in a connecting element between two oscillators |
| title_sort | account of delay in a connecting element between two oscillators |
| topic | autooscillations delay normal form lyapunov's exponents bifurcations synchronization |
| url | https://www.mais-journal.ru/jour/article/view/1034 |
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