Delayed-feedback chimera states: Forced multiclusters and stochastic resonance
Abstract
A nonlinear oscillator model with negative time-delayed feedback is studied numeri- cally under external deterministic and stochastic forcing. It is found that in the unforced system complex partial synchronization patterns like chimera states as well as salt-and-pepper like soli- tary states arise on the route from regular dynamics to spatio-temporal chaos. The control of the dynamics by external periodic forcing is demonstrated by numerical simulations. It is shown that one-cluster and multi-cluster chimeras can be achieved by adjusting the external forcing frequency to appropriate resonance conditions. If a stochastic component is superimposed to the determin- istic external forcing, chimera states can be induced in a way similar to stochastic resonance, they appear, therefore, in regimes where they do not exist without noise.
Cite
@article{arxiv.1511.03634,
title = {Delayed-feedback chimera states: Forced multiclusters and stochastic resonance},
author = {Vladimir Semenov and Anna Zakharova and Yuri Maistrenko and Eckehard Schöll},
journal= {arXiv preprint arXiv:1511.03634},
year = {2016}
}
Comments
6 pages of paper with references + tex style file + 5 figures