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. Th...

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Bibliographic Details
Published inJETP letters Vol. 106; no. 6; pp. 393 - 399
Main Authors Bolotov, M. I., Smirnov, L. A., Osipov, G. V., Pikovsky, A. S.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.09.2017
Springer Nature B.V
Subjects
Atomic
Biological and Medical Physics
Biophysics
Breathing
Computer simulation
Direct numerical simulation
Molecular
Nonlinear Phenomena
Optical and Plasma Physics
Order parameters
Oscillators
Particle and Nuclear Physics
Physics
Physics and Astronomy
Quantum Information Technology
Solid State Physics
Spintronics
Stability
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Summary: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.
ISSN:0021-3640
1090-6487
DOI:10.1134/S0021364017180059