Chimera-like states in modular neural networks

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  • dc.contributor.author Hizanidis, Johanneca
  • dc.contributor.author Kouvaris, Nikosca
  • dc.contributor.author Zamora-López, Gorkaca
  • dc.contributor.author Díaz-Guilera, Albertca
  • dc.contributor.author Antonopoulos, Chris G.ca
  • dc.date.accessioned 2016-07-18T08:26:49Z
  • dc.date.available 2016-07-18T08:26:49Z
  • dc.date.issued 2016ca
  • dc.description.abstract Chimera states, namely the coexistence of coherent and incoherent behavior, were previously analyzed in complex networks. However, they have not been extensively studied in modular networks. Here, we consider a neural network inspired by the connectome of the C. elegans soil worm, organized into six interconnected communities, where neurons obey chaotic bursting dynamics. Neurons are assumed to be connected with electrical synapses within their communities and with chemical synapses across them. As our numerical simulations reveal, the coaction of these two types of coupling can shape the dynamics in such a way that chimera-like states can happen. They consist of a fraction of synchronized neurons which belong to the larger communities, and a fraction of desynchronized neurons which are part of smaller communities. In addition to the Kuramoto order parameter ρ, we also employ other measures of coherence, such as the chimera-like χ and metastability λ indices, which quantify the degree of synchronization among communities and along time, respectively. We perform the same analysis for networks that share common features with the C. elegans neural network. Similar results suggest that under certain assumptions, chimera-like states are prominent phenomena in modular networks, and might provide insight for the behavior of more complex modular networks.
  • dc.description.sponsorship This study was supported by the J. S. Latsis Public Benefit Foundation in Greece. J. H. acknowledges support/nby the EU/FP7-REGPOT-2012 –2013-1 under grant agreement n316165. N. E. K. and A. D. -G. acknowledge/nsupport by the LASAGNE (Contract No. 318132) and MULTIPLEX (Contract No. 317532) EU projects as well/nas by the Generalitat de Catalunya (2014SGR608) and Spanish MINECO (FIS2012-38266). G. Z. -L. received/nsupport from the European Union Seventh Framework Programme FP7/2007–2013 under grant agreement/nnumber PIEF-GA-2012-331800.
  • dc.format.mimetype application/pdfca
  • dc.identifier.citation Hizanidis J, Kouvaris NE, Zamora-López G, Díaz-Guilera A, Antonopoulos CH. Chimera-like states in modular neural networks. Scientific Reports. 2016;6:19845. DOI: 10.1038/srep19845ca
  • dc.identifier.doi http://dx.doi.org/10.1038/srep19845
  • dc.identifier.issn 2045-2322ca
  • dc.identifier.uri http://hdl.handle.net/10230/27075
  • dc.language.iso engca
  • dc.publisher Nature Publishing Groupca
  • dc.relation.ispartof Scientific Reports. 2016;6:19845
  • dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/316165ca
  • dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/318132
  • dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/317532
  • dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/331800
  • dc.relation.projectID info:eu-repo/grantAgreement/ES/3PN/FIS2012-38266
  • dc.rights This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material.ca
  • dc.rights.accessRights info:eu-repo/semantics/openAccessca
  • dc.rights.uri http://creativecommons.org/licenses/by/4.0/
  • dc.title Chimera-like states in modular neural networksca
  • dc.type info:eu-repo/semantics/articleca
  • dc.type.version info:eu-repo/semantics/publishedVersionca