Regensburg 2004 – scientific programme
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DY: Dynamik und Statistische Physik
DY 34: Nonlinear Dynamics and Chaos I
DY 34.2: Talk
Wednesday, March 10, 2004, 14:45–15:00, H2
Latency effects in time-delay feedback control of chaos — •Philipp Hövel1, Eckehard Schöll1, Joshua E. S. Socolar2, and Wolfram Just3 — 1Technische Universität Berlin, 10623 Berlin, Germany — 2Duke University, Durham, North Carolina, USA — 3Queen Mary/ University of London, London, UK
Unstable periodic orbits can be controlled by time-delay feedback methods. We present a stability analysis in the case of extended time-delay autosynchronization. Our analysis includes effects of non-zero latency time, i.e., the time associated with the generation and injection of the feedback signal. We derive a theoretical explanation for experimentally observed, nontrivial features of the domain of control, e.g., gaps, maximum latency times. The explanation is done in the background of Floquet theory and we take both the unstable eigenmode and a single stable eigenmode into account.