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arXiv · 1912.06546

Locking and regularisation of chimeras by periodic forcing

Maxim I. Bolotov·Lev A. Smirnov·Grigory V. Osipov·Arkady Pikovsky
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Abstract

We study how a chimera state in a one-dimensional medium of non-locally coupled oscillators responses to a periodic external force. On a macroscopic level, where chimera can be considered as an oscillating object, forcing leads to entrainment of the chimera's frequency inside an Arnold tongue. On a mesoscopic level, where chimera can be viewed as a inhomogeneous, stationary or nonstationary pattern, strong forcing can lead to reguralization of an unstationary chimera. On a microscopic level of the dynamics of individual oscillators, forcing outside of the Arnold tongue leads to a multi-plateu state with nontrivial locking properties.

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Maxim I. Bolotov, Lev A. Smirnov, Grigory V. Osipov, Arkady Pikovsky. 2019-12-13. Locking and regularisation of chimeras by periodic forcing. https://doi.org/10.1103/physreve.102.042218

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