Modulating coherence resonance in non-excitable systems by time-delayed feedback
Adaptation and Self-Organizing Systems
2014-12-08 v1
Abstract
We propose a paradigmatic model system, a subcritical Hopf normal form subjected to noise and time-delayed feedback, to investigate the impact of time delay on coherence resonance in non-excitable systems. We develop analytical tools to estimate the stationary distribution and the time correlations in nonlinear stochastic delay differential equations. These tools are applied to our model to propose a novel quantity to measure coherence resonance induced by a saddle-node bifurcation of periodic orbits.
Cite
@article{arxiv.1410.1686,
title = {Modulating coherence resonance in non-excitable systems by time-delayed feedback},
author = {Paul M. Geffert and Anna Zakharova and Andrea Vüllings and Wolfram Just and Eckehard Schöll},
journal= {arXiv preprint arXiv:1410.1686},
year = {2014}
}