Delay control of coherence resonance in type-I excitable dynamics
1 Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany
2 Optical Communications Laboratory, Department of Informatics and Telecommunications, University of Athens, 15784, Athens, Greece
Revised: 9 August 2010
Published online: 1 October 2010
We consider a simple paradigmatic system of type-I excitability subject to noise and time-delayed feedback. This system is governed by a global bifurcation, namely a saddle-node bifurcation on a limit cycle. In the absence of noise, delay can induce complex dynamics including multiple stable and unstable periodic orbits. Random fluctuations result in coherence resonance in dependence on the noise strength. We show that this effect can be enhanced by delayed feedback control with suitably chosen feedback strength and time delay.
© EDP Sciences, Springer-Verlag, 2010