Synchronization by an External Periodic Force in Ensembles of Globally Coupled Phase Oscillators

    2024, Volume 29, Number 6, pp.  901-912

    Author(s): Abramov S. S., Bolotov M. I., Smirnov L. A.

    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.
    Keywords: external force, synchronization, stabilization, chimera state, phase oscillator
    Citation: Abramov S. S., Bolotov M. I., Smirnov L. A., Synchronization by an External Periodic Force in Ensembles of Globally Coupled Phase Oscillators, Regular and Chaotic Dynamics, 2024, Volume 29, Number 6, pp. 901-912



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