English

Resonance between Noise and Delay

Statistical Mechanics 2009-10-31 v2

Abstract

We propose here a stochastic binary element whose transition rate depends on its state at a fixed interval in the past. With this delayed stochastic transition this is one of the simplest dynamical models under the influence of ``noise'' and ``delay''. We demonstrate numerically and analytically that we can observe resonant phenomena between the oscillatory behavior due to noise and that due to delay.

Keywords

Cite

@article{arxiv.cond-mat/9807205,
  title  = {Resonance between Noise and Delay},
  author = {Toru Ohira and Yuzuru Sato},
  journal= {arXiv preprint arXiv:cond-mat/9807205},
  year   = {2009}
}

Comments

4 pages, 5 figures, submitted to Phys.Rev.Lett Expanded and Added References