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DY: Dynamik und Statistische Physik

DY 34: Nonlinear Dynamics and Chaos I

DY 34.2: Vortrag

Mittwoch, 10. März 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.