balanov_control.pdf (2.33 MB)
Control of noise-induced oscillations by delayed feedback
preprintposted on 2005-07-19, 14:25 authored by Alexander BalanovAlexander Balanov, Natalia JansonNatalia Janson, E. Scholl
We propose a method to control noise-induced motion, based on using delayed feedback in the form of the difference between the delayed and the current states of the system. The method is applied to two different types of systems, namely, a selfoscillator near Andronov-Hopf bifurcation and a threshold system. In both cases we demonstrate that by variation of time delay one can effectively control coherence and timescales of stochastic oscillations. The entrainment of the basic period of oscillations by time delay is discovered. We give explanations of the phenomena observed and provide a theory for the system near bifurcation.
- Mathematical Sciences
NotesThis pre-print has been submitted, and accepted, into the journal, Physica D: Non linear Phenomena [© Elsevier]. The definitive version: BALANOV, A.G., JANSON, N.B and SCHOLL, E., 2004. Control of noise-induced oscillations by delayed feedback. Physica D: Non linear Phenomena, 199 (1-2),pp.1-12, is available at http://www.sciencedirect.com/science/journal/01672789.