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

✍ Scribed by Zheng-Lin Jia

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 434 KB
• Volume: 387
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2008.07.018

✦ Synopsis

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 τ c1 ≈ 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 τ c2 ≈ 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.