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Resonance between Noise and Delay

Toru Ohira·Yuzuru Sato
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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.

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Toru Ohira, Yuzuru Sato. 1998-12-03. Resonance between Noise and Delay. https://doi.org/10.1103/physrevlett.82.2811

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