Resonance between Noise and Delay

Details Resonance between Noise and Delay Resonance between Noise and Delay

1998-07-14

arxiv.org/abs/cond-mat/9807205v2

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevLett.82.2811

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.

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