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

• Authors: Chun-hua Zeng , Xiao-feng Zhou , Shu-fen Tao
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

time delay; bistable system; correlation function; relaxation time

Discipline

• 02.50.Ey: Stochastic processes
• 02.50.Fz: Stochastic analysis
• 05.40.-a: Fluctuation phenomena, random processes, noise, and Brownian motion(for fluctuations in superconductivity, see 74.40.-n; for statistical theory and fluctuations in nuclear reactions, see 24.60.-k; for fluctuations in plasma, see 52.25.Gj; for nonlinear dynamics and chaos, see 05.45.-a)
• 05.40.Ca: Noise
• 05.40.Jc: Brownian motion

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 3
• Pages: 534-540

Dates

published

1 - 9 - 2009

online

25 - 6 - 2009

Contributors

author

Chun-hua Zeng

• Faculty of Science, Kunming University of Science and Technology, Kunming, 650093, China

author

Xiao-feng Zhou

• Department of Physics, Qujing Normal University, Qujing, 655011, China

author

Shu-fen Tao

• Department of Physics, Qujing Normal University, Qujing, 655011, China

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Identifiers

DOI

10.2478/s11534-009-0035-7