Regensburg 2004 – scientific programme
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DY: Dynamik und Statistische Physik
DY 36: Nonlinear Dynamics and Chaos II
DY 36.4: Talk
Wednesday, March 10, 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.