Regensburg 2004 – scientific programme

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DY: Dynamik und Statistische Physik

DY 42: Long-Range Correlations and Multifractals

DY 42.2: Talk

Thursday, March 11, 2004, 11:45–12:00, H2

Controlling noise-induced motion by time-delayed feedback — •Natalia Janson^1,2, Alexander Balanov¹, and Eckehard Schöll¹ — ¹Institut für Theoretische Physik, Technische Universität Berlin, 10623 Berlin, Germany — ²Department of Mathematical Science, Loughborough University, Leicestershire, LE11 3TU, UK

Time delayed feedback control that was earlier introduced by Pyragas for the purpose of control of deterministic chaotic oscillations in nonlinear dynamic systems, is exploited for controlling noise-induced motion. Such noise-induced oscillations are widespread in systems near bifurcations, and in excitable systems. Under appropriate choice of time delay, one can either increase or decrease the regularity of motion. In an excitable system, delayed feedback stabilizes the frequency of oscillations against variation of noise strength. Also, for fixed noise intensity, the phenomenon of entrainment of basic periods of oscillations by the delayed feedback is found. This allows one to steer the timescales of noise-induced motion by changing the time delay.