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arXiv · 1511.03634

Delayed-feedback chimera states: Forced multiclusters and stochastic resonance

Vladimir Semenov·Anna Zakharova·Yuri Maistrenko·Eckehard Schöll
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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.

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Vladimir Semenov, Anna Zakharova, Yuri Maistrenko, Eckehard Schöll. 2016-03-25. Delayed-feedback chimera states: Forced multiclusters and stochastic resonance. https://doi.org/10.1209/0295-5075%2F115%2F10005

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