Dresden 2014 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 10: Nonlinear Stochastic Systems

DY 10.10: Vortrag

Dienstag, 1. April 2014, 12:00–12:15, ZEU 160

Modulation of noise effects in nonlinear systems by time-delayed feedback — •Paul Geffert¹, Wolfram Just², Eckehard Schöll¹, Andrea Vüllings¹, and Anna Zakharova¹ — ¹Institut für Theoretische Physik, Technische Universität Berlin, Germany — ²Queen Mary, University of London, School of Mathematical Sciences, UK

We study noise-induced phenomena in nonlinear systems under the influence of stochastic forces and time delay, and show that they can be controlled by time-delayed feedback. In particular, we discuss coherence resonance and stochastic bifurcations in single and coupled systems described by a subcritical Hopf normal form. For the case of time delayed feedback, we derive the stationary probability distribution by means of a multiple scale perturbation expansion. By applying statistical linearization techniques, we obtain analytic expressions for the autocorrelation function of the delayed system.