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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Yaroslavl State University
2010-09-01
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Online Access: | https://www.mais-journal.ru/jour/article/view/1044 |
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doaj-80c35e41a7634bc1b657df306ef29bdd2021-07-29T08:15:17ZengYaroslavl State UniversityModelirovanie i Analiz Informacionnyh Sistem1818-10152313-54172010-09-01173134143785The 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 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
S. D. Glyzin E. A. Soldatova |
spellingShingle |
S. D. Glyzin E. A. Soldatova The factor of delay in a system of coupled oscillators FitzHugh - Nagumo Modelirovanie i Analiz Informacionnyh Sistem autooscillations delay normal form method bifurcations |
author_facet |
S. D. Glyzin E. A. Soldatova |
author_sort |
S. D. Glyzin |
title |
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_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_sort |
factor of delay in a system of coupled oscillators
fitzhugh - nagumo |
publisher |
Yaroslavl State University |
series |
Modelirovanie i Analiz Informacionnyh Sistem |
issn |
1818-1015 2313-5417 |
publishDate |
2010-09-01 |
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. |
topic |
autooscillations delay normal form method bifurcations |
url |
https://www.mais-journal.ru/jour/article/view/1044 |
work_keys_str_mv |
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