title: Multistability of synchronous regimes in rotator ensembles.
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.
authors.affiliation: Department of Control Theory, Nizhny Novgorod State University, 23, Gagarin Avenue, 603950 Nizhny Novgorod, Russia.
authors.forename: A K
authors.initials: AK
authors.lastname: Kryukov
authors.affiliation: Department of Control Theory, Nizhny Novgorod State University, 23, Gagarin Avenue, 603950 Nizhny Novgorod, Russia.
authors.forename: V S
authors.initials: VS
authors.lastname: Petrov
authors.affiliation: Department of Control Theory, Nizhny Novgorod State University, 23, Gagarin Avenue, 603950 Nizhny Novgorod, Russia.
authors.forename: G V
authors.initials: GV
authors.lastname: Osipov
authors.affiliation: Institute of Applied Physics, Russian Academy of Sciences, 603950 Nizhny Novgorod, Russia.
authors.forename: J
authors.initials: J
authors.lastname: Kurths