Resonance between Noise and Delay

Preprint

3 December 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9807205

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

RESONANT PHENOMENA
STOCHASTIC BINARY
TRANSITION RATE
BINARY ELEMENT
BEHAVIOR
DELAY
NOISE

All Related Versions

Version 1, 1998-07-14, ArXiv
Version 2, 1998-12-03, ArXiv
Published version: Physical Review Letters, 82 (14), 2811.

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