Eur. Phys. J. B 69, 101-107 (2009)
https://doi.org/10.1140/epjb/e2009-00067-9

Control coherence resonance by noise recycling

¹ Department of Chemical Physics, University of Science and Technology of China, Hefei, Anhui, 230026, P.R. China
² Hefei National Lab for Physical Science at Microscale, Hefei, Anhui, 230026, P.R. China

Corresponding author: ^a hzhlj@ustc.edu.cn

Received: 18 November 2008
Revised: 28 December 2008
Published online: 28 February 2009

Abstract

We study the effect of recycled noise, generated by the superposition of a primary Gaussian noise source with a second component of constant delay, in a parameter region below the threshold of supercritical Hopf bifurcation, by focussing on the performance of noise induced oscillations and coherence resonance. For fixed noise intensity, the amplitude and signal-to-noise ratio of the oscillation show periodic dependences on the delay time. The optimal noise intensity for the occurrence of coherence resonance also shows a periodic dependence on the delay. A theoretical analysis based on the stochastic normal form theory is presented, which qualitatively reproduces the simulation results with good agreement. This work presents a possible strategy for controlling noise induced oscillations and coherence resonance by deliberately adjusting the parameters of the recycled noise.