Berlin 2005 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 30: Spiral Formation and Feedback
DY 30.3: Vortrag
Montag, 7. März 2005, 10:45–11:00, TU H3010
Experimental relevance of global properties of time–delayed feedback control — •Clemens v. Loewenich1, Hartmut Benner1 und Wolfram Just2 — 1Institut für Festkörperphysik, Technische Universität Darmstadt, D-64289 Darmstadt — 2School of Mathamatical Sciences, Queen Mary/ University of London, UK
We show by means of theoretical considerations and electronic circuit experiments that time–delayed feedback control suffers from severe global constraints if transitions at the control boundaries are discontinuous. Subcritical behaviour gives rise to small basins of attraction and thus limits the control performance. The reported properties [1] are on the one hand universal since the mechanism is based on general arguments borrowed from bifurcation theory, and on the other hand directly visible in experimental time series.
[1] C.v. Loewenich et al., Phys. Rev. Lett. 93, 174101 (2004).