Noise and time delay induce critical point in a bistable system

作者：Zhang, Jianqiang^*; Nie, Linru; Yu, Lilong; Zhang, Xinyu

来源：International Journal of Modern Physics B, 2014, 28(28): 1450197.

DOI：10.1142/S0217979214501975

• Bistable system
• relaxation time
• critical point

We study relaxation time T-c of time-delayed bistable system driven by two crosscorrelated Gaussian white noises that one is multiplicative and the other is additive. By means of numerical calculations, the results indicate that: (i) Combination of noise and time delay can induce two critical points about the relaxation time at some certain noise cross-correlation strength lambda under the condition that the multiplicative intensity D equals to the additive noise intensity alpha. (ii) For each fixed D or alpha, there are two symmetrical critical points which locates in the regions of positive and negative correlations, respectively. Namely, as lambda equals to the critical value lambda(c), T-c is independent of the delay time and the result of T-c versus tau is a horizontal line, but as vertical bar lambda| > vertical bar lambda(c)vertical bar (or vertical bar lambda vertical bar < vertical bar lambda(c)vertical bar), the relaxation time T-c monotonically increases (or decreases) with the delay time increasing. (iii) In the presence of D = alpha, the

• 出版日期2014-11-10
• 单位昆明理工大学