balanov_control.pdf (2.33 MB)
Control of noise-induced oscillations by delayed feedback
preprint
posted on 2005-07-19, 14:25 authored by Alexander BalanovAlexander Balanov, Natalia JansonNatalia Janson, E. SchollWe 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.
History
School
- Science
Department
- Mathematical Sciences
Pages
2441945 bytesPublication date
2004Notes
This 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.Language
- en