Breathing chimera in a system of phase oscillators


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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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M. Bolotov

Lobachevsky State University of Nizhny Novgorod

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Email: maksim.bolotov@itmm.unn.ru
俄罗斯联邦, Nizhny Novgorod, 603950

L. Smirnov

Institute of Applied Physics; Institute for Physics and Astronomy

Email: maksim.bolotov@itmm.unn.ru
俄罗斯联邦, Nizhny Novgorod, 603950; Potsdam-Golm, D-14476

G. Osipov

Lobachevsky State University of Nizhny Novgorod

Email: maksim.bolotov@itmm.unn.ru
俄罗斯联邦, Nizhny Novgorod, 603950

A. Pikovsky

Lobachevsky State University of Nizhny Novgorod; Institute for Physics and Astronomy

Email: maksim.bolotov@itmm.unn.ru
俄罗斯联邦, Nizhny Novgorod, 603950; Potsdam-Golm, D-14476

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