Effects of time delay on transient behavior of a time-delayed metastable system subjected to cross-correlated noises

Zheng-Lin Jia

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 25, 6247-6251

Abstract: The effects of time delay on the transient properties of a time-delayed metastable system subjected to cross-correlated noises are studied by means of a stochastic simulation method. It is found that: (i) Both additive noise and multiplicative noise can produce the noise enhanced stability (NES) effect; (ii) The time delay induces critical behavior on the NES, i.e., there is a critical value of the delay time τc1≈2.2, above which the time delay increases the stability of the system enhanced by the additive noise, and below which the NES effect induced by the additive noise disappears; (iii) There exists another critical value of the delay time τc2≈3.0, above which the time delay increases the stability of the system enhanced by the multiplicative noise and below which the time delay decreases it.

Keywords: Time delay; Mean first-passage time; Noise-enhanced stability; Cross-correlated noises (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:25:p:6247-6251

DOI: 10.1016/j.physa.2008.07.018

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