Effects of time delay on the statistical fluctuations for a bistable system driven by cross-correlated noises

被引:2
|
作者
Zeng, Chun-hua [1 ]
Zhou, Xiao-feng [2 ]
Tao, Shu-fen [2 ]
机构
[1] Kunming Univ Sci & Technol, Fac Sci, Kunming 650093, Peoples R China
[2] Qujing Normal Univ, Dept Phys, Qujing 655011, Peoples R China
来源
CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2009年 / 7卷 / 03期
关键词
time delay; bistable system; correlation function; relaxation time; STEADY-STATE ANALYSIS; SINGLE-MODE LASER; STOCHASTIC RESONANCE; RELAXATION-TIME; MULTIPLICATIVE NOISE; COLORED NOISE; SUBJECT;
D O I
10.2478/s11534-009-0035-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the effects of time delay on the normalized correlation function C(s) and the associated relaxation time T-c for a bistable system with correlations between multiplicative and additive white noises under the condition of small time delay. Using the projection operator method, the expressions of T-c and C(s) are obtained. Based on numerical computations, it is found that the delay time tau slows down the rate of fluctuation decay of dynamical variable for the presence of positive feedback intensity (epsilon > 0), while speeds up the rate of fluctuation decay of dynamical variable for the presence of negative feedback intensity (epsilon < 0). The effects of the delay time tau on the T-c and C(s) are entirely opposite for epsilon > 0 and epsilon < 0.
引用
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页码:534 / 540
页数:7
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