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Blinking chimeras in globally coupled rotators

  • In globally coupled ensembles of identical oscillators so-called chimera states can be observed. The chimera state is a symmetry-broken regime, where a subset of oscillators forms a cluster, a synchronized population, while the rest of the system remains a collection of nonsynchronized, scattered units. We describe here a blinking chimera regime in an ensemble of seven globally coupled rotators (Kuramoto oscillators with inertia). It is characterized by a death-birth process, where a long-term stable cluster of four oscillators suddenly dissolves and is very quickly reborn with a new reshuffled configuration. We identify three different kinds of rare blinking events and give a quantitative characterization by applying stability analysis to the long-lived chaotic state and to the short-lived regular regimes that arise when the cluster dissolves.

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Author details:Richard Janis GoldschmidtORCiDGND, Arkadij PikovskijORCiDGND, Antonio PolitiORCiDGND
DOI:https://doi.org/10.1063/1.5105367
ISSN:1054-1500
ISSN:1089-7682
Pubmed ID:https://pubmed.ncbi.nlm.nih.gov/31370417
Title of parent work (English):Chaos : an interdisciplinary journal of nonlinear science
Publisher:American Institute of Physics
Place of publishing:Melville
Publication type:Article
Language:English
Year of first publication:2019
Publication year:2019
Release date:2021/01/12
Volume:29
Issue:7
Number of pages:7
Funding institution:Sklodowska Curie Grant [642563]; Russian Science FoundationRussian Science Foundation (RSF) [17-12-01534]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
DDC classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Peer review:Referiert
Publishing method:Open Access / Green Open-Access
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