Collective states in a ring network of theta neurons

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dc.citation.issue2259
dc.citation.volume478
dc.contributor.authorOmel'chenko O
dc.contributor.authorLaing CR
dc.coverage.spatialEngland
dc.date.accessioned2023-11-15T20:35:31Z
dc.date.accessioned2023-11-20T01:38:14Z
dc.date.available2022-03-09
dc.date.available2023-11-15T20:35:31Z
dc.date.available2023-11-20T01:38:14Z
dc.date.issued2022-03-09
dc.description.abstractWe 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.
dc.description.confidentialfalse
dc.edition.editionMarch 2022
dc.format.pagination20210817-
dc.identifier.author-urlhttps://www.ncbi.nlm.nih.gov/pubmed/35280327
dc.identifier.citationOmel'chenko O, Laing CR. (2022). Collective states in a ring network of theta neurons.. Proc Math Phys Eng Sci. 478. 2259. (pp. 20210817-).
dc.identifier.doi10.1098/rspa.2021.0817
dc.identifier.eissn1471-2946
dc.identifier.elements-typejournal-article
dc.identifier.issn1364-5021
dc.identifier.numberARTN 20210817
dc.identifier.piirspa20210817
dc.identifier.urihttps://mro.massey.ac.nz/handle/10179/69166
dc.languageeng
dc.publisherThe Royal Society Publishing
dc.publisher.urihttps://royalsocietypublishing.org/doi/10.1098/rspa.2021.0817#d1e6637
dc.relation.isPartOfProc Math Phys Eng Sci
dc.rights(c) 2022 The Author/s
dc.rightsCC BY 4.0
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectbumps
dc.subjectneural networks
dc.subjecttheta neurons
dc.titleCollective states in a ring network of theta neurons
dc.typeJournal article
pubs.elements-id451578
pubs.organisational-groupOther
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