Chimera states in multiplex networks: chameleon-like across-layer synchronization

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• dc.contributor.author Andrzejak, Ralph Gregor
• dc.contributor.author Espinoso Palacín, Anaïs
• dc.date.accessioned 2023-05-16T06:17:21Z
• dc.date.available 2023-05-16T06:17:21Z
• dc.date.issued 2023
• dc.description.abstract Different across-layer synchronization types of chimera states in multilayer networks have been discovered recently. We investigate possible relations between them, for example, if the onset of some synchronization type implies the onset of some other type. For this purpose, we use a two-layer network with multiplex inter-layer coupling. Each layer consists of a ring of non-locally coupled phase oscillators. While oscillators in each layer are identical, the layers are made non-identical by introducing mismatches in the oscillators’ mean frequencies and phase lag parameters of the intra-layer coupling. We use different metrics to quantify the degree of various across-layer synchronization types. These include phase-locking between individual interacting oscillators, amplitude and phase synchronization between the order parameters of each layer, generalized synchronization between the driver and response layer, and the alignment of the incoherent oscillator groups’ position on the two rings. For positive phase lag parameter mismatches, we get a cascaded onset of synchronization upon a gradual increase of the inter-layer coupling strength. For example, the two order parameters show phase synchronization before any of the interacting oscillator pairs does. For negative mismatches, most synchronization types have their onset in a narrow range of the coupling strength. Weaker couplings can destabilize chimera states in the response layer toward an almost fully coherent or fully incoherent motion. Finally, in the absence of a phase lag mismatch, sufficient coupling turns the response dynamics into a replica of the driver dynamics with the phases of all oscillators shifted by a constant lag.
• dc.description.sponsorship We acknowledge funding from the Spanish Ministry of Science and Innovation and the State Research Agency (Grant No. PID2020-118196GBI00/MICIN/AEI/10.13039/501100011033).
• dc.format.mimetype application/pdf
• dc.identifier.citation Andrzejak RG, Espinoso A. Chimera states in multiplex networks: chameleon-like across-layer synchronization. Chaos. 2023;33(5):053112. DOI: 10.1063/5.0146550
• dc.identifier.doi http://dx.doi.org/10.1063/5.0146550
• dc.identifier.issn 1054-1500
• dc.identifier.uri http://hdl.handle.net/10230/56823
• dc.language.iso eng
• dc.publisher American Institute of Physics (AIP)
• dc.relation.ispartof Chaos. 2023;33(5):053112.
• dc.relation.isreferencedby https://dataverse.csuc.cat/dataverse/cat?q=andrzejak
• dc.relation.projectID info:eu-repo/grantAgreement/ES/2PE/PID2020-118196GBI00
• dc.rights © American Institute of Physics. Published under an exclusive license by AIP Publishing
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.subject.other Xarxes neuronals (Informàtica)
• dc.title Chimera states in multiplex networks: chameleon-like across-layer synchronization
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/publishedVersion