Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 238, Issue 16, Pages 1680-1687Publisher
ELSEVIER
DOI: 10.1016/j.physd.2009.05.007
Keywords
Time-delay dynamics; Bifurcation analysis; Control of chaos
Categories
Funding
- European Commission's [043363]
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We apply time-delayed feedback control to stabilise unstable periodic orbits of ail amplitude-phase oscillator. The control acts on both, the amplitude and the frequency of the oscillator, and we show how the phase of the control signal influences the dynamics of the oscillator. A comprehensive bifurcation analysis in terms of the control phase and the control strength reveals large stability regions of the target periodic orbit, as well as an increasing number of unstable periodic orbits caused by the time delay of the feedback loop. Our results provide insight into the global features of time-delayed control schemes. (C) 2009 Elsevier B.V. All rights reserved.
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