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

Show simple item record Malchow, Ann-Kathleen Omelchenko, Iryna Schöll, Eckehard Hövel, Philipp 2020-04-28T10:03:54Z 2020-04-28T10:03:54Z 2018-07-30
dc.identifier.citation Malchow, 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.98.012217 en
dc.identifier.volume 98 en
dc.identifier.startpage 1 en
dc.identifier.endpage 7 en
dc.identifier.issn 2470-0053
dc.identifier.doi 10.1103/PhysRevE.98.012217 en
dc.description.abstract We 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.sponsorship Deutsche Forschungsgemeinschaft (in the framework of Collaborative Research Center SFB 910) en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society en
dc.rights © 2018 American Physical Society en
dc.subject Chimera states en
dc.subject Collective behavior in networks en
dc.subject Complex systems en
dc.subject Dynamics of networks en
dc.subject Patterns in complex systems en
dc.subject Synchronization en
dc.subject Homogeneous networks en
dc.subject Networks en
dc.subject Nonlinear Dynamics en
dc.title Robustness of chimera states in nonlocally coupled networks of nonidentical logistic maps en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Philipp Hövel, School Of Mathematical Sciences, University College Cork, Cork, Ireland. +353-21-490-3000 Email: en
dc.internal.availability Full text available en 2020-04-28T07:53:55Z
dc.description.version Published Version en
dc.internal.rssid 453948051
dc.contributor.funder Deutsche Forschungsgemeinschaft en
dc.description.status Peer reviewed en
dc.identifier.journaltitle Physical Review E en
dc.internal.copyrightchecked No
dc.internal.licenseacceptance Yes en
dc.internal.IRISemailaddress en
dc.identifier.articleid 012217 en

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