The factor of delay in a system of coupled oscillators FitzHugh - Nagumo
The dynamics of two weakly coupled close oscillators FitzHugh - Nagumo occuring in the simulation of the electric impulse exchange between nerve cells is considered. The delay in a connecting element between two oscillators is taken into account. Despite of the weakness of interaction, it is shown b...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2010-09-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/1044 |
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| author | S. D. Glyzin E. A. Soldatova |
| author_facet | S. D. Glyzin E. A. Soldatova |
| author_sort | S. D. Glyzin |
| collection | DOAJ |
| description | The dynamics of two weakly coupled close oscillators FitzHugh - Nagumo occuring in the simulation of the electric impulse exchange between nerve cells is considered. The delay in a connecting element between two oscillators is taken into account. Despite of the weakness of interaction, it is shown by local asymptotic methods that the introduction of a delay leads to significant changes in the script of phase reconstructions. The corresponding numerical analysis allows us to demonstrate that the introduction of the appropriate delay let us avoid the situation of the coexistence of a stable synchronous cycle and nonsynchronous oscillations. |
| format | Article |
| id | doaj-art-80c35e41a7634bc1b657df306ef29bdd |
| institution | Kabale University |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2010-09-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-80c35e41a7634bc1b657df306ef29bdd2025-08-20T04:00:25ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172010-09-01173134143785The factor of delay in a system of coupled oscillators FitzHugh - NagumoS. D. Glyzin0E. A. Soldatova1Ярославский государственный университет им. П.Г. ДемидоваЯрославский государственный университет им. П.Г. ДемидоваThe dynamics of two weakly coupled close oscillators FitzHugh - Nagumo occuring in the simulation of the electric impulse exchange between nerve cells is considered. The delay in a connecting element between two oscillators is taken into account. Despite of the weakness of interaction, it is shown by local asymptotic methods that the introduction of a delay leads to significant changes in the script of phase reconstructions. The corresponding numerical analysis allows us to demonstrate that the introduction of the appropriate delay let us avoid the situation of the coexistence of a stable synchronous cycle and nonsynchronous oscillations.https://www.mais-journal.ru/jour/article/view/1044autooscillationsdelaynormal form methodbifurcations |
| spellingShingle | S. D. Glyzin E. A. Soldatova The factor of delay in a system of coupled oscillators FitzHugh - Nagumo Моделирование и анализ информационных систем autooscillations delay normal form method bifurcations |
| title | The factor of delay in a system of coupled oscillators FitzHugh - Nagumo |
| title_full | The factor of delay in a system of coupled oscillators FitzHugh - Nagumo |
| title_fullStr | The factor of delay in a system of coupled oscillators FitzHugh - Nagumo |
| title_full_unstemmed | The factor of delay in a system of coupled oscillators FitzHugh - Nagumo |
| title_short | The factor of delay in a system of coupled oscillators FitzHugh - Nagumo |
| title_sort | factor of delay in a system of coupled oscillators fitzhugh nagumo |
| topic | autooscillations delay normal form method bifurcations |
| url | https://www.mais-journal.ru/jour/article/view/1044 |
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