Issue |
EPL
Volume 115, Number 1, July 2016
|
|
---|---|---|
Article Number | 10005 | |
Number of page(s) | 6 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/115/10005 | |
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
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