Dynamics of three coupled excitable cells with D3 symmetry

We study the solutions of a system of three coupled excitable cells with D3 symmetry. The system has two parameters, one controls the local dynamics of each cell and the other the strength of the coupling. We find and describe self-sustained collective oscillations. Periodic solutions appear in glob...

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Detalles Bibliográficos
Autor principal: Sigman, Mariano
Publicado: 2000
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02181274_v10_n7_p1709_Sigman
http://hdl.handle.net/20.500.12110/paper_02181274_v10_n7_p1709_Sigman
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_02181274_v10_n7_p1709_Sigman
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spelling paper:paper_02181274_v10_n7_p1709_Sigman2023-06-08T15:21:17Z Dynamics of three coupled excitable cells with D3 symmetry Sigman, Mariano We study the solutions of a system of three coupled excitable cells with D3 symmetry. The system has two parameters, one controls the local dynamics of each cell and the other the strength of the coupling. We find and describe self-sustained collective oscillations. Periodic solutions appear in global bifurcations, typically after the collapse of fixed points heteroclinically connected. The symmetries of these periodic solutions are the same as the ones expected in periodic solutions which appear in local (Hopf) bifurcations. Fil:Sigman, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02181274_v10_n7_p1709_Sigman http://hdl.handle.net/20.500.12110/paper_02181274_v10_n7_p1709_Sigman
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We study the solutions of a system of three coupled excitable cells with D3 symmetry. The system has two parameters, one controls the local dynamics of each cell and the other the strength of the coupling. We find and describe self-sustained collective oscillations. Periodic solutions appear in global bifurcations, typically after the collapse of fixed points heteroclinically connected. The symmetries of these periodic solutions are the same as the ones expected in periodic solutions which appear in local (Hopf) bifurcations.
author Sigman, Mariano
spellingShingle Sigman, Mariano
Dynamics of three coupled excitable cells with D3 symmetry
author_facet Sigman, Mariano
author_sort Sigman, Mariano
title Dynamics of three coupled excitable cells with D3 symmetry
title_short Dynamics of three coupled excitable cells with D3 symmetry
title_full Dynamics of three coupled excitable cells with D3 symmetry
title_fullStr Dynamics of three coupled excitable cells with D3 symmetry
title_full_unstemmed Dynamics of three coupled excitable cells with D3 symmetry
title_sort dynamics of three coupled excitable cells with d3 symmetry
publishDate 2000
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02181274_v10_n7_p1709_Sigman
http://hdl.handle.net/20.500.12110/paper_02181274_v10_n7_p1709_Sigman
work_keys_str_mv AT sigmanmariano dynamicsofthreecoupledexcitablecellswithd3symmetry
_version_ 1768544817358307328

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