Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 7: Time-delayed feedback and neural networks

DY 7.7: Vortrag

Montag, 25. Februar 2008, 18:00–18:15, A 053

Control of delay-induced oscillatory firing patterns — •Gerald Hiller, Sebastian Brandstetter, Philipp Hövel, Markus A. Dahlem, and Eckehard Schöll — Institut für Theoretische Physik, Technische Universität Berlin

Using the FitzHugh-Nagumo model as a prototypical example of an excitable system, we investigate the emergence of oscillatory firing patterns as a result of delayed coupling between two units. The compound system becomes a bistable system being either at rest or in a state of sustained mutually driven oscillation.

We apply Pyragas' delayed feedback method to control the delay-induced bifurcation that renders the compound system oscillatory. We also investigate the robustness of the oscillator to white noise as well as colored noise and examine the possibility of using either noise or control to trigger the transition between the rest state and the oscillatory state.