Regensburg 2004 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 36: Nonlinear Dynamics and Chaos II

DY 36.4: Vortrag

Mittwoch, 10. März 2004, 17:15–17:30, H2

On global properties of time-delayed feedback control — •Wolfram Just¹, Clemens v. Loewenich², and Hartmut Benner² — ¹Department of Mathematics, Queen Mary/University of London, UK — ²Institut für Festkörperphysik, TU Darmstadt

While control of chaos by time-delayed feedback is meanwhile quite well understood from the point of view of linear stability analysis, almost nothing is known about global features of the control problem. From an experimental point of view the question which type of initial condition yields successful stabilisation, i.e. in theoretical terms the basin of attraction, is of utmost importance. Applying general arguments from bifurcation theory we propose that discontinuous transitions at the control boundaries, i.e. subcritical behaviour, severely limits such basins. We illustrate our theoretical concept by numerical simulations and electronic circuit experiments.