Browsing by Author "Omelchenko, Iryna"
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- ItemOptimal design of the tweezer control for chimera states(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2017) Omelchenko, Iryna; Omelchenko, Oleh E.; Zakharova, Anna; Schöll, EckehardChimera 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. A tweezer feedback control scheme can stabilize and fix the position of chimera states. 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.
- ItemA tweezer for chimeras in small networks(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2015) Omelchenko, Iryna; Omelchenko, Oleh E.; Zakharova, Anna; Wolfrum, Matthias; Schöll, EckehardWe propose a control scheme which can stabilize and fix the position of chimera states in small networks. 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.