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Collective states in a ring network of theta neurons
We consider a ring network of theta neurons with non-local homogeneous coupling. We analyse the corresponding continuum evolution equation, analytically describing all possible steady states and their stability. By considering a number of different parameter sets, we determine the typical bifurcatio...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8908473/ https://www.ncbi.nlm.nih.gov/pubmed/35280327 http://dx.doi.org/10.1098/rspa.2021.0817 |
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author | Omel’chenko, Oleh Laing, Carlo R. |
author_facet | Omel’chenko, Oleh Laing, Carlo R. |
author_sort | Omel’chenko, Oleh |
collection | PubMed |
description | We consider a ring network of theta neurons with non-local homogeneous coupling. We analyse the corresponding continuum evolution equation, analytically describing all possible steady states and their stability. By considering a number of different parameter sets, we determine the typical bifurcation scenarios of the network, and put on a rigorous footing some previously observed numerical results. |
format | Online Article Text |
id | pubmed-8908473 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | The Royal Society |
record_format | MEDLINE/PubMed |
spelling | pubmed-89084732022-03-10 Collective states in a ring network of theta neurons Omel’chenko, Oleh Laing, Carlo R. Proc Math Phys Eng Sci Research Articles We consider a ring network of theta neurons with non-local homogeneous coupling. We analyse the corresponding continuum evolution equation, analytically describing all possible steady states and their stability. By considering a number of different parameter sets, we determine the typical bifurcation scenarios of the network, and put on a rigorous footing some previously observed numerical results. The Royal Society 2022-03 2022-03-09 /pmc/articles/PMC8908473/ /pubmed/35280327 http://dx.doi.org/10.1098/rspa.2021.0817 Text en © 2022 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited. |
spellingShingle | Research Articles Omel’chenko, Oleh Laing, Carlo R. Collective states in a ring network of theta neurons |
title | Collective states in a ring network of theta neurons |
title_full | Collective states in a ring network of theta neurons |
title_fullStr | Collective states in a ring network of theta neurons |
title_full_unstemmed | Collective states in a ring network of theta neurons |
title_short | Collective states in a ring network of theta neurons |
title_sort | collective states in a ring network of theta neurons |
topic | Research Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8908473/ https://www.ncbi.nlm.nih.gov/pubmed/35280327 http://dx.doi.org/10.1098/rspa.2021.0817 |
work_keys_str_mv | AT omelchenkooleh collectivestatesinaringnetworkofthetaneurons AT laingcarlor collectivestatesinaringnetworkofthetaneurons |