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Theoretical analysis reveals external periodic force synchronization of chimera states in coupled phase oscillators, highlighting mechanisms to stabilize complex dynamical systems.
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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Abramov et al. (2024) studied this question.
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