The European Physical Journal B

, Volume 69, Issue 1, pp 101–107

Control coherence resonance by noise recycling

Topical issue on Stochastic Resonance

DOI: 10.1140/epjb/e2009-00067-9

Cite this article as:
Ma, J., Hou, Z. & Xin, H. Eur. Phys. J. B (2009) 69: 101. doi:10.1140/epjb/e2009-00067-9


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.


05.40.Ca Noise 05.45.-a Nonlinear dynamics and chaos 

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Department of Chemical PhysicsUniversity of Science and Technology of ChinaAnhuiP.R. China
  2. 2.Hefei National Lab for Physical Science at Microscale, HefeiAnhuiP.R. China

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