Dynamics of Structured Networks of Winfree Oscillators

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dc.citation.volume15
dc.contributor.authorLaing CR
dc.contributor.authorBläsche C
dc.contributor.authorMeans S
dc.contributor.editorPopovych O
dc.coverage.spatialSwitzerland
dc.date.accessioned2023-11-15T01:55:49Z
dc.date.accessioned2023-11-20T01:37:49Z
dc.date.available2021-02-10
dc.date.available2023-11-15T01:55:49Z
dc.date.available2023-11-20T01:37:49Z
dc.date.issued2021-02-10
dc.description.abstractWinfree oscillators are phase oscillator models of neurons, characterized by their phase response curve and pulsatile interaction function. We use the Ott/Antonsen ansatz to study large heterogeneous networks of Winfree oscillators, deriving low-dimensional differential equations which describe the evolution of the expected state of networks of oscillators. We consider the effects of correlations between an oscillator's in-degree and out-degree, and between the in- and out-degrees of an “upstream” and a “downstream” oscillator (degree assortativity). We also consider correlated heterogeneity, where some property of an oscillator is correlated with a structural property such as degree. We finally consider networks with parameter assortativity, coupling oscillators according to their intrinsic frequencies. The results show how different types of network structure influence its overall dynamics.
dc.description.confidentialfalse
dc.format.pagination631377-
dc.identifier.author-urlhttps://www.ncbi.nlm.nih.gov/pubmed/33643004
dc.identifier.citationLaing CR, Bläsche C, Means S. (2021). Dynamics of Structured Networks of Winfree Oscillators.. Front Syst Neurosci. 15. (pp. 631377-).
dc.identifier.doi10.3389/fnsys.2021.631377
dc.identifier.eissn1662-5137
dc.identifier.elements-typejournal-article
dc.identifier.issn1662-5137
dc.identifier.numberARTN 631377
dc.identifier.urihttps://mro.massey.ac.nz/handle/10179/69129
dc.languageeng
dc.publisherFrontiers Media SA
dc.publisher.urihttps://www.frontiersin.org/articles/10.3389/fnsys.2021.631377/full
dc.relation.isPartOfFront Syst Neurosci
dc.rights(c) 2021 The Author/s
dc.rightsCC BY
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectOtt/Antonsen
dc.subjectWinfree oscillators
dc.subjectassortativity
dc.subjectcopula
dc.subjectcoupled oscillators
dc.subjectdegree
dc.subjectneuronal networks
dc.titleDynamics of Structured Networks of Winfree Oscillators
dc.typeJournal article
pubs.elements-id440434
pubs.organisational-groupOther
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