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Synchronization Regimes in an Ensemble of Phase Oscillators Coupled Through a Diffusion Field

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Radiophysics and Quantum Electronics Aims and scope

We consider an ensemble of identical phase oscillators coupled through a common diffusion field. Using the Ott–Antonsen reduction, we develop dynamical equations for the complex local order parameter and the mean field. The regions of the existence and stability are determined for the totally synchronous, partially synchronous, and asynchronous spatially homogeneous states. A procedure of searching for inhomogeneous states as periodic trajectories of an auxiliary system of the ordinary differential equations is demonstrated. A scenario of emergence of chimera structures from homogeneous synchronous solutions is described.

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Authors and Affiliations

  1. N. I. Lobachevsky Nizhny Novgorod State University, Nizhny Novgorod, Russia

    D. I. Bolotov, M. I. Bolotov, L. A. Smirnov, G. V. Osipov & A. S. Pikovsky

  2. Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod, Russia

    L. A. Smirnov

  3. Potsdam University, Potsdam, Germany

    A. S. Pikovsky

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  1. D. I. Bolotov
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  2. M. I. Bolotov
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  3. L. A. Smirnov
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  4. G. V. Osipov
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  5. A. S. Pikovsky
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Correspondence to M. I. Bolotov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 64, No. 10, pp. 787–805, October 2021. Russian DOI: https://doi.org/10.52452/00213462_2021_64_10_787

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Bolotov, D.I., Bolotov, M.I., Smirnov, L.A. et al. Synchronization Regimes in an Ensemble of Phase Oscillators Coupled Through a Diffusion Field. Radiophys Quantum El 64, 709–725 (2022). https://doi.org/10.1007/s11141-022-10173-4

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  • DOI: https://doi.org/10.1007/s11141-022-10173-4

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