Bumps, chimera states, and Turing patterns in systems of coupled active rotators

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dc.citation.issue5
dc.citation.rankM21
dc.citation.spageL052201
dc.citation.volume104
dc.contributor.authorFranović, Igor
dc.contributor.authorOmel'chenko, Oleh E.
dc.contributor.authorWolfrum, Matthias
dc.date.accessioned2023-06-22T08:14:59Z
dc.date.available2023-06-22T08:14:59Z
dc.date.issued2021-11-04
dc.description.abstractSelf-organized coherence-incoherence patterns, called chimera states, have first been reported in systems of Kuramoto oscillators. For coupled excitable units, similar patterns where coherent units are at rest are called bump states. Here, we study bumps in an array of active rotators coupled by nonlocal attraction and global repulsion. We demonstrate how they can emerge in a supercritical scenario from completely coherent Turing patterns: a single incoherent unit appears in a homoclinic bifurcation, undergoing subsequent transitions to quasiperiodic and chaotic behavior, which eventually transforms into extensive chaos with many incoherent units. We present different types of transitions and explain the formation of coherence-incoherence patterns according to the classical paradigm of short-range activation and long-range inhibition.
dc.identifier.doi10.1103/physreve.104.l052201
dc.identifier.issn2470-0045
dc.identifier.issn2470-0053
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/45
dc.language.isoen
dc.publisherAmerican Physical Society (APS)
dc.relation.ispartofPhysical Review E
dc.relation.ispartofabbrPhys. Rev. E
dc.rightsopenAccess
dc.titleBumps, chimera states, and Turing patterns in systems of coupled active rotators
dc.typejournal-article
dc.type.versionpublishedVersion
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