Regensburg 2010 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Posters II

DY 30.28: Poster

Donnerstag, 25. März 2010, 16:00–18:00, Poster C

Transient times for Pyragas control of steady states and periodic orbits — •Philipp Hövel, Robert Hinz, and Eckehard Schöll — Institut f. Theo. Physik, Sekr. EW 7-1, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany

We investigate the transient behavior for the control of both steady states and periodic orbits by time-delayed feedback. By analytical arguments we relate the transient time to the real part of the leading eigenvalue and Floquet exponent in the case of a fixed point of focus type and supercritical Hopf bifurcation, respectively. We derive an algebraic scaling of the transient time and confirm our findings by numerical simulations in dependence on the control parameters feedback gain and time delay.