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DY: Dynamik und Statistische Physik

DY 34: Poster

DY 34.23: Poster

Montag, 7. März 2005, 15:30–18:00, Poster TU D

Control of noisy oscillations in the Van-der-Pol system — •Jan Pomplun, Alexander Balanov, Andreas Amann, and Eckehard Schöll — Institut für Theoretische Physik, TU Berlin, Hardenbergstr. 36, 10623 Berlin

Effects of delayed feedback on noisy dynamics of the paradigmatic Van der Pol system are studied both analytically and numerically. It is shown that such a feedback in the form proposed earlier by Pyragas for the control of chaotic oscillations can be used for effective manipulation of the statistics of noisy oscillations either above or below the Hopf bifurcation; however, the action of the feedback in those two cases is different. We discuss this difference from the viewpoint of amplitude and phase dynamics and explain its origin.