Dynamics of the finite-dimensional Kuramoto model: Global and cluster synchronization

作者: Vladimir N. Belykh , Valentin S. Petrov , Grigory V. Osipov

DOI: 10.1134/S1560354715010037

关键词:

摘要: Synchronization phenomena in networks of globally coupled non-identical oscillators have been one the key problems nonlinear dynamics over years. The main model used within this framework is Kuramoto model. This shows three types behavior: global synchronization, cluster synchronization including chimera states and totally incoherent behavior. We present new sufficient conditions for phase an asynchronous mode finite-size In order to find these constant time varying frequency mismatch, we propose a simple method comparison which allows obtain explicit estimate range. Theoretical results are supported by numerical simulations.

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