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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02181274_v10_n7_p1709_Sigman |
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todo:paper_02181274_v10_n7_p1709_Sigman2023-10-03T15:10:43Z Dynamics of three coupled excitable cells with D3 symmetry Sigman, M. Mindlin, B.G. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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. |
| format |
JOUR |
| author |
Sigman, M. Mindlin, B.G. |
| spellingShingle |
Sigman, M. Mindlin, B.G. Dynamics of three coupled excitable cells with D3 symmetry |
| author_facet |
Sigman, M. Mindlin, B.G. |
| author_sort |
Sigman, M. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_02181274_v10_n7_p1709_Sigman |
| work_keys_str_mv |
AT sigmanm dynamicsofthreecoupledexcitablecellswithd3symmetry AT mindlinbg dynamicsofthreecoupledexcitablecellswithd3symmetry |
| _version_ |
1807315199011586048 |