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Breathing chimera in a system of phase oscillators |
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| Authors: | M. I. Bolotov L. A. Smirnov G. V. Osipov A. S. Pikovsky |
| Affiliation: | 1.Lobachevsky State University of Nizhny Novgorod,Nizhny Novgorod,Russia;2.Institute of Applied Physics,Russian Academy of Sciences,Nizhny Novgorod,Russia;3.Institute for Physics and Astronomy,University of Potsdam,Potsdam-Golm,Germany |
| Abstract: | 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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