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Regensburg 2016 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 20: Chimera State: Symmetry breaking in dynamical networks (joint session DY/SOE accompanying symposium SYCS)

DY 20.1: Vortrag

Dienstag, 8. März 2016, 14:00–14:15, H36

Controlling Chimera States - The influence of excitable units — •Philipp Hövel1,2, Thomas Isele1, Johanne Hizanidis3,4, and Astero Provata31Institut für Theoretische Physik, Technische Universität Berlin, Germany — 2Bernstein Center for Computational Neuroscience Berlin, Humboldt Universität zu Berlin, Germany — 3National Center for Scientific Research “Demokritos”, Athen, Greece — 4Crete Center for Quantum Complexity and Nanotechnology, University of Crete, Heraklion, Greece

We explore the influence of a block of excitable units on the existence and behavior of chimera states in a nonlocally coupled ring-network of FitzHugh-Nagumo elements. The FitzHugh-Nagumo system, a paradigmatic model in many fields from neuroscience to chemical pattern formation and nonlinear electronics, exhibits oscillatory or excitable behavior depending on the values of its parameters. Until now, chimera states have been studied in networks of coupled oscillatory FitzHugh-Nagumo elements. In the present work, we find that introducing a block of excitable units into the network may lead to several interesting effects. It allows for controlling the position of a chimera state as well as for generating a chimera state directly from the synchronous state.

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