Volume 115, Number 1, July 2016
|Number of page(s)||6|
|Published online||03 August 2016|
Delayed-feedback chimera states: Forced multiclusters and stochastic resonance
1 Department of Physics, Saratov State University - Astrakhanskaya str. 83, 410012 Saratov, Russia
2 Institut für Theoretische Physik, Technische Universität Berlin - Hardenbergstraße 36, 10623 Berlin, Germany
3 Institute of Mathematics and Center for Medical and Biotechnical Research, NAS of Ukraine Tereschenkivska Str. 3, 01601 Kyiv, Ukraine
Received: 24 March 2016
Accepted: 11 July 2016
A nonlinear oscillator model with negative time-delayed feedback is studied numerically 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 solitary 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 deterministic 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.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 02.30.Ks – Delay and functional equations / 47.54.-r – Pattern selection; pattern formation
© EPLA, 2016
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.