Effects of time delay on the statistical fluctuations for a bistable system driven by cross-correlated noises |
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Authors: | Chun-hua Zeng Xiao-feng Zhou Shu-fen Tao |
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Institution: | (1) Faculty of Science, Kunming University of Science and Technology, Kunming, 650093, China;(2) Department of Physics, Qujing Normal University, Qujing, 655011, China |
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Abstract: | 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 τ slows down the rate of fluctuation decay of dynamical variable for the presence of positive feedback intensity (∈ > 0), while speeds up the rate of fluctuation decay of dynamical variable for the presence of negative feedback intensity
(∈ < 0). The effects of the delay time τ on the T
c
and C(s) are entirely opposite for ∈ 〉 0 and ∈ < 0.
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Keywords: | time delay bistable system correlation function relaxation time |
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