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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.35: Poster

Donnerstag, 30. März 2006, 16:00–18:00, P1

Control of noisy oscillations with extended time-delayed autosynchronization in the Van der Pol system — •Jan Pomplun¹, Eckehard Schöll¹, and Alexander Balanov^1,2 — ¹Institut für Theoretische Physik, TU Berlin, Hardenbergstr. 36, 10623 Berlin — ²School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD

We consider the Van der Pol system as a generic model of a nonlinear oscillator. Below the Hopf bifurcation the introduction of Gaussian white noise provokes noise-induced oscillations. It is shown that essential oscillation properties such as coherence and timescales can be controlled effectively by a feedback control loop with multiple time delays. This control scheme turns out to be much superior to single-time delay control. The occurrence of two different timescales in the system is observed, which can be modified by choosing appropriate values for the control parameters. An analytical treatment of the system explains these effects and shows excellent agreement with results from numerical simulations.