Locking and regularisation of chimeras by periodic forcing
Pattern Formation and Solitons
2020-11-04 v1
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.
Cite
@article{arxiv.1912.06546,
title = {Locking and regularisation of chimeras by periodic forcing},
author = {Maxim I. Bolotov and Lev A. Smirnov and Grigory V. Osipov and Arkady Pikovsky},
journal= {arXiv preprint arXiv:1912.06546},
year = {2020}
}