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Breathing chimera in a system of phase oscillators

  • Chimera states consisting of synchronous and asynchronous domains in a medium of nonlinearly coupled phase oscillators have been considered. Stationary inhomogeneous solutions of the Ott-Antonsen equation for a complex order parameter that correspond to fundamental chimeras have been constructed. The direct numerical simulation has shown that these structures under certain conditions are transformed to oscillatory (breathing) chimera regimes because of the development of instability.

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Author details:Maxim I. BolotovORCiD, Lev A. SmirnovORCiD, Grigory V. OsipovORCiDGND, Arkadij PikovskijORCiDGND
DOI:https://doi.org/10.1134/S0021364017180059
ISSN:0021-3640
ISSN:1090-6487
Title of parent work (English):JETP Letters
Publisher:Pleiades Publ.
Place of publishing:New York
Publication type:Article
Language:English
Date of first publication:2017/11/24
Publication year:2017
Release date:2022/01/21
Volume:106
Number of pages:7
First page:393
Last Page:399
Funding institution:Russian Science Foundation [17-12-01534]; German-Russian Interdisciplinary Science Center [M-2017a-4]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
DDC classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Peer review:Referiert
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