Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control
Abstract
We report the emergence of coexisting synchronous and asynchronous subpopulations of oscillators in one dimensional arrays of identical oscillators by applying a self-feedback control. When a self-feedback is applied to a subpopulation of the array, similar to chimera states, it splits into two/more sub-subpopulations coexisting in coherent and incoherent states for a range of self-feedback strength. By tuning the coupling between the nearest neighbors and the amount of self-feedback in the perturbed subpopulation, the size of the coherent and the incoherent sub-subpopulations in the array can be controlled, although the exact size of them is unpredictable. We present numerical evidence using the Landau-Stuart (LS) system and the Kuramoto-Sakaguchi (KS) phase model.
Cite
@article{arxiv.1707.01266,
title = {Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control},
author = {Bidesh K. Bera and Dibakar Ghosh and Punit Parmananda and G. V. Osipov and Syamal K. Dana},
journal= {arXiv preprint arXiv:1707.01266},
year = {2017}
}
Comments
13 pages, 13 figures, accepted for publication in CHAOS (July 2017)