Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 7: Time-delayed feedback and neural networks

DY 7.5: Vortrag

Montag, 25. Februar 2008, 17:30–17:45, A 053

Control of neural dynamics by extended time-delayed feedback — •Philipp Hövel, Markus A. Dahlem, and Eckehard Schöll — Institut f. Theo. Physik, Sekr. EW 7-1, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany

We investigate the cooperative dynamics of two muually coupled neural populations represented by two FitzHugh-Nagumo systems. Both populations are prepared at parameter values at which no self-sustained oscillations occur, and both are subject to independent sources of Gaussian white noise. In order to influence the cooperative dynamics measured, for instance, by quantities like the coherence, ratio of average interspike intervals, and synchronization, we apply a local, external stimulation modelled as extended time-delayed feedback. This method was originally proposed to stabilize unstable periodic orbits of deterministic systems and generates a feedback signal from the differences of multiple time delays. Depending on the control parameters such as time delay, feedback strength, and memory parameter, we expect stronger effects on the coherence, time scales, and synchronization of coupled neural oscillators compared to control schemes with only a single time delay.