Semyon Abramov
av. Gagarina 23, 603022 Nizhny Novgorod, Russia
Department of Control Theory, Lobachevsky State University of Nizhny Novgorod
Publications:
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Abramov S. S., Bolotov M. I., Smirnov L. A.
Synchronization by an External Periodic Force in Ensembles of Globally Coupled Phase Oscillators
, , pp.
Abstract
We consider the effect of an external periodic force on chimera states in the
phase oscillator model proposed in [Phys. Rev. Lett, v. 101, 00319007 (2008)]. Using the Ott –
Antonsen reduction, the dynamical equations for the global order parameter characterizing
the degree of synchronization are constructed. The frequency locking by an external periodic
force region is constructed. The possibility of stable chimeras synchronization and unstable
chimeras stabilization is established. The instability development of the chimera states leads to
the appearance of breather chimeras or complete synchronization.
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