Berlin 2018 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 58: Chimera states: symmetry-breaking in dynamical networks (joint session DY/SOE)
DY 58.1: Talk
Thursday, March 15, 2018, 10:00–10:15, BH-N 128
Optimal design of the Tweezer control for chimera states — •Iryna Omelchenko1, Oleh E. Omel’chenko2, Anna Zakharova1, and Eckehard Schöll1 — 1Institut für Theoretische Physik, Technische Universität Berlin, Germany — 2Weierstrass Institute, Berlin, Germany
Chimera states are complex spatio-temporal patterns which consist of coexisting domains of spatially coherent and incoherent dynamics in systems of coupled oscillators. In small networks, chimera states usually exhibit short lifetimes and erratic drifting of the spatial position of the incoherent domain. We introduce a tweezer feedback control scheme which can effectively stabilize and fix the position of chimera states in small systems [1]. We analyse the action of the tweezer control in small nonlocally coupled networks of Van der Pol and FitzHugh-Nagumo oscillators, and determine the ranges of optimal control parameters. We demonstrate that the tweezer control scheme allows for stabilization of chimera states with different shapes, and can be used as an instrument for controlling the coherent domains size, as well as the maximum average frequency difference of the oscillators.
[1] I. Omelchenko, O. E. Omel’chenko, A. Zakharova, M. Wolfrum, and E. Schöll, Phys. Rev. Lett. 116, 114101 (2016).