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Stochastic resonance driven by time-modulated correlated coloured noise sources in a single-mode laser

Chinese Physics B 2009年第5期18卷 1755-1760页

作者：陈德彝张莉 Department of Physics College of ScienceChina Three Gorges University College of Electrics and Information Engineering South-Central University for Nationalities

This paper investigates the phenomenon of stochastic resonance in a single-mode laser driven by time-modulated correlated coloured noise sources. The power spectrum and signal-to-noise ratio R of the laser intensity are calculated by the linear approximation. The effects caused by noise self-correlation time τ1, τ2 and cross-correlated time τ3 for stochastic resonance are analysed in two ways： τ1, τ2 and τ3 are taken to be the independent variables and the parameters respectively. The effects of the gain coefficient F and loss coefficient K on the stochastic resonance are also discussed. It is found that besides the presence of the standard form and the broad sense of stochastic resonance, the number of extrema in the curve of R versus K is reduced with the increase of the gain coefficient Г.

关键词： coloured noise coloured correlation time-periodic modulation signal-to-noise ratio

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Transitions in a genotype selection model driven by coloured noises

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Chinese Physics B 2008年第2期17卷 479-485页

作者：王参军梅冬成 Department of Physics Yunnan University Nonlinear Research Institute Baoji University Of Sciences And Arts

This paper investigates a genotype selection model subjected to both a multiplicative coloured noise and an additive coloured noise with different correlation time τ1 and τ2 by means of the numerical technique. By directly simulating the Langevin Equation, the following results are obtained. （1） The multiplicative coloured noise dominates, however, the effect of the additive coloured noise is not neglected in the practical gene selection process. The selection rate μ decides that the selection is propitious to gene A haploid or gene B haploid. （2） The additive coloured noise intensity and the correlation time τ2 play opposite roles. It is noted that α and τ2 can not separate the single peak, while can make the peak disappear and ^-2 can make the peak be sharp. （3） The multiplicative coloured noise intensity D and the correlation time τ1 can induce phase transition, at the same time they play opposite roles and the reentrance phenomenon appears. In this case, it is easy to select one type haploid from the group with increasing D and decreasing τ1.

关键词： genotype selection model coloured noise stationary probability distribution

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BDS/GPS deformation analysis of a long-span cable-stayed bridge based on colored noise filtering

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Geodesy and Geodynamics 2023年第2期14卷 163-171页

作者： Jun Ma China Railway Siyuan Survey and Design Group Co. LTDWuhan 430079China School of Surveying and mapping Wuhan UniversityWuhan 430079China

Combining GPS and BDS technology to monitor the deformation of long-span railway bridges with stricter deformation control requirements is of significance to the safety and control of the bridge and the safety of railway *** studies have ignored the influence of coloured noise in the deformation time *** is not conducive to accurate deformation analysis of long-span railway ***,GPS,BDS and GPS/BDS monitoring data of Ganjiang Bridge located in Ganzhou city,Jiangxi Province,China are adopted in this paper to filter the coloured noise in the deformation time series by principal component analysis(PCA),and the influence of coloured noise on the deformation analysis results of railway bridge is *** experimental results show that the diurnal temperature difference causes the mid-span and the tower of the railway cable-stayed bridge to deform with a period of about one day in the vertical and longitudinal directions,*** colored noise will make the uncertainty of the deformation parameter estimation overly *** can significantly reduce the coloured noise,and thus reduce the uncertainty of deformation parameter estimation by about 73%.Moreover,the average difference between the daily periodic motion amplitudes of the monitoring points obtained by using GPS and BDS deformation time series is 1.65 *** use of GPS/BDS deformation time series is not only helpful to reduce the influence of coloured noise,but also can reduce the difference between amplitude analysis results obtained from GPS and BDS deformation time series.

关键词： Long-span railway bridges GNSS deformation monitoring coloured noise PCA

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