Email this article Breathing chimera in a system of phase oscillators
- Authors: Bolotov M.I.1, Smirnov L.A.2,3, Osipov G.V.1, Pikovsky A.S.1,3
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Affiliations:
- Lobachevsky State University of Nizhny Novgorod
- Institute of Applied Physics
- Institute for Physics and Astronomy
- Issue: Vol 106, No 6 (2017)
- Pages: 393-399
- Section: Nonlinear Phenomena
- URL: https://ogarev-online.ru/0021-3640/article/view/160592
- DOI: https://doi.org/10.1134/S0021364017180059
- ID: 160592
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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.
About the authors
M. I. Bolotov
Lobachevsky State University of Nizhny Novgorod
Author for correspondence.
Email: maksim.bolotov@itmm.unn.ru
Russian Federation, Nizhny Novgorod, 603950
L. A. Smirnov
Institute of Applied Physics; Institute for Physics and Astronomy
Email: maksim.bolotov@itmm.unn.ru
Russian Federation, Nizhny Novgorod, 603950; Potsdam-Golm, D-14476
G. V. Osipov
Lobachevsky State University of Nizhny Novgorod
Email: maksim.bolotov@itmm.unn.ru
Russian Federation, Nizhny Novgorod, 603950
A. S. Pikovsky
Lobachevsky State University of Nizhny Novgorod; Institute for Physics and Astronomy
Email: maksim.bolotov@itmm.unn.ru
Russian Federation, Nizhny Novgorod, 603950; Potsdam-Golm, D-14476
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