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Multistability of synchronous regimes in rotator ensembles
A K Kryukov1, V S Petrov1, G V Osipov1
1Department of Control Theory, Nizhny Novgorod State University, 23, Gagarin Avenue, 603950 Nizhny Novgorod, Russia.
Abstract:
We study collective dynamics in rotator ensembles and focus on the multistability of synchronous regimes in a chain of coupled rotators. We provide a detailed analysis of the number of coexisting regimes and estimate in particular, the synchronization boundary for different types of individual frequency distribution. The number of wave-based regimes coexisting for the same parameters and its dependence on the chain length are estimated. We give an analytical estimation for the synchronization frequency of the in-phase regime for a uniform individual frequency distribution.
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