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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 17: Networks: From Topology to Dynamics (joint session DY/ BP/SOE)

SOE 17.2: Vortrag

Donnerstag, 23. März 2017, 15:15–15:30, ZEU 147

Control of chimeras in small networks — Iryna Omelchenko¹, Oleh Omel’chenko², Anna Zakharova¹, Matthias Wolfrum², and •Eckehard Schöll¹ — ¹Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany — ²Weierstrass Institute, Mohrenstraße 39, 10117 Berlin, Germany

We propose a control scheme which can stabilize and fix the position of chimera states in small networks [1]. Chimeras consist of coexisting domains of spatially coherent and incoherent dynamics in systems of nonlocally coupled identical oscillators. Chimera states are generally difficult to observe in small networks due to their short lifetime and erratic drifting of the spatial position of the incoherent domain. The control scheme, like a tweezer, might be useful in experiments, where usually only small networks can be realized.

[1] I. Omelchenko, O. E. Omel’chenko, A. Zakharova, M. Wolfrum, and E. Schöll, Phys. Rev. Lett. 116, 114101 (2016).