Robustness of chimera states in nonlocally coupled networks of nonidentical logistic maps

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dc.contributor.authorMalchow, Ann-Kathleen
dc.contributor.authorOmelchenko, Iryna
dc.contributor.authorSchöll, Eckehard
dc.contributor.authorHövel, Philipp
dc.contributor.funderDeutsche Forschungsgemeinschaften
dc.date.accessioned2020-04-28T10:03:54Z
dc.date.available2020-04-28T10:03:54Z
dc.date.issued2018-07-30
dc.date.updated2020-04-28T07:53:55Z
dc.description.abstractWe investigate the dynamics of nonlocally coupled time-discrete maps with emphasis on the occurrence and robustness of chimera states. These peculiar, hybrid states are characterized by a coexistence of coherent and incoherent regions. We consider logistic maps coupled on a one-dimensional ring with finite coupling radius. Domains of chimera existence form different tongues in the parameter space of coupling range and coupling strength. For a sufficiently large coupling strength, each tongue refers to a wave number describing the structure of the spatial profile. We also analyze the period-adding scheme within these tongues and multiplicity of period solutions. Furthermore, we study the robustness of chimeras with respect to parameter inhomogeneities and find that these states persist for different widths of the parameter distribution. Finally, we explore the spatial structure of the chimera using a spatial correlation function.en
dc.description.sponsorshipDeutsche Forschungsgemeinschaft (in the framework of Collaborative Research Center SFB 910)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid012217en
dc.identifier.citationMalchow, A.-K., Omelchenko, I., Schöll, E. and Hövel, P. (2018) 'Robustness of Chimera States in Nonlocally Coupled Networks of Nonidentical Logistic Maps', Physical Review E, 98, 012217 (7 pp). doi: 10.1103/PhysRevE.98.012217en
dc.identifier.doi10.1103/PhysRevE.98.012217en
dc.identifier.endpage7en
dc.identifier.issn2470-0053
dc.identifier.journaltitlePhysical Review Een
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/9879
dc.identifier.volume98en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.012217
dc.rights© 2018 American Physical Societyen
dc.subjectChimera statesen
dc.subjectCollective behavior in networksen
dc.subjectComplex systemsen
dc.subjectDynamics of networksen
dc.subjectPatterns in complex systemsen
dc.subjectSynchronizationen
dc.subjectHomogeneous networksen
dc.subjectNetworksen
dc.subjectNonlinear Dynamicsen
dc.titleRobustness of chimera states in nonlocally coupled networks of nonidentical logistic mapsen
dc.typeArticle (peer-reviewed)en
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