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

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  • Jia, Zheng-Lin

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.

Suggested Citation

  • Jia, Zheng-Lin, 2008. "Effects of time delay on transient behavior of a time-delayed metastable system subjected to cross-correlated noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6247-6251.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:25:p:6247-6251
    DOI: 10.1016/j.physa.2008.07.018
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    Cited by:

    1. Wang, Tonghuan & Guan, Lin & Zeng, Chunhua, 2019. "Transition induce by positive and negative time delay feedback in active Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).

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