Dresden 2009 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 9: Nonlinear dynamics, synchronization and chaos II

DY 9.6: Talk

Tuesday, March 24, 2009, 11:45–12:00, ZEU 255

Coupling effects of time-delayed feedback for the synchronization of neural dynamics — •Philipp Hövel¹, Sarang A. Shah², Markus A. Dahlem¹, and Eckehard Schöll¹ — ¹Institut f. Theo. Physik, Sekr. EW 7-1, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany — ²Georgia Institute of Technology, Atlanta, Georgia 30332, USA

We investigate two mutually coupled neural populations modeled by two FitzHugh-Nagumo systems. The subsystems are prepared at parameter values at which no autonomous oscillations occur and each system is subject to its own source of random fluctuations realized by Gaussian white noise. For proper choices of the noise intensities and coupling strength, we find cooperative dynamics such as frequency synchronization and phase synchronization. It was shown by Hauschildt et al. that application of time-delayed feedback, which was originally suggested for deterministic chaos control, is able to influence the cooperative dynamics. We discuss various coupling schemes of the feedback method and investigate the effects of specific realizations, i.e., when the control force is generated form the activator or inhibitor and applied to either component.