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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...

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Detalles Bibliográficos
Autores principales: Omel’chenko, Oleh, Laing, Carlo R.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2022
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.
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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
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