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Steady-state analysis subject to a coloured and a white additive of a bistable system multiplicative noise noise with coloured cross-correlated noises 被引量:3
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作者 王参军 陈世波 梅冬成 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第7期1435-1440,共6页
The steady-state properties of a bistable system are investigated when both the multiplicative noise and the coupling between additive and multiplicative noises are coloured with different values of noise correlation ... The steady-state properties of a bistable system are investigated when both the multiplicative noise and the coupling between additive and multiplicative noises are coloured with different values of noise correlation times T1 and T2. After introducing a dimensionless parameter R(R = α/D, D is the intensity of the multiplicative noise and a is the intensity of the additive noise), and performing the numerical computations, we find the following points: (1) For the case of R 〉 1, A (the intensity of correlation between additive and multiplicative noises), T1 and T2 can induce the stationary probability distribution (SPD) transition from bimodal to unimodal in structure, but for the cases of R _〈 1, the bimodal structure is preserved; (2) a can also induce the SPD transition from bimodal to unimodal in structure; (3) the bimodal structure of the SPD exhibits a symmetrical structure as D increases. 展开更多
关键词 bistable system correlated noise stationary probability distribution
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Time-Delayed Feedback Control in a Single-Mode Laser System 被引量:1
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作者 GU Xiao-Hui ZHU Shi-Qun WU Dan School of Physical Science and Technology,Suzhou University,Suzhou 215006,China 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第12期1055-1058,共4页
The effects of time-delayed feedback control in a single-mode laser system is investigated.Using the smalltime delay approximation,the analytic expression of the stationary probability distribution function of the las... The effects of time-delayed feedback control in a single-mode laser system is investigated.Using the smalltime delay approximation,the analytic expression of the stationary probability distribution function of the laser field isobtained.The mean,normalized variance and skewness of the steady-state laser intensity are calculated.It is found thatthe time-delayed feedback control can suppress the intensity fluctuation of the laser system.The numerical simulationsare in good agreement with the approximate analytic results. 展开更多
关键词 time-delayed feedback single-mode laser stationary probability distribution function
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Enhancement of density divergence in an insect outbreak model driven by colored noise
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作者 肖荣 王参军 张林 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第11期121-125,共5页
The steady states and the transient properties of an insect outbreak model driven by Gaussian colored noise are studied in this paper. According to the Fokker-Planck equation in the unified colored-noise approximation... The steady states and the transient properties of an insect outbreak model driven by Gaussian colored noise are studied in this paper. According to the Fokker-Planck equation in the unified colored-noise approximation, we analyse the stationary probability distribution and the mean first-passage time of this model. By numerical analysis, the effects of the self-correlation time of insect birth rate and predation rate respectively reveal a manifest population divergence on the insect density. The decrease of the mean first-passage time indicates an enhancement dynamic on the density divergency with colored noise of a large self-correlation time based on the insect outbreak model. 展开更多
关键词 colored noise insect outbreak model stationary probability distribution function meanfirst-passage time
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Transitions in a genotype selection model driven by coloured noises
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作者 王参军 梅冬成 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第2期479-485,共7页
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 d... 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. 展开更多
关键词 genotype selection model coloured noise stationary probability distribution
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On Multivariate Markov Chains for Common and Non-Common Objects in Multiple Networks
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作者 Xutao Li Wen Li +1 位作者 Michael K.Ng Yunming Ye 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2012年第3期384-402,共19页
Node importance or centrality evaluation is an important methodology for network analysis.In this paper,we are interested in the study of objects appearing in several networks.Such common objects are important in netw... Node importance or centrality evaluation is an important methodology for network analysis.In this paper,we are interested in the study of objects appearing in several networks.Such common objects are important in network-network interactions via object-object interactions.The main contribution of this paper is to model multiple networks where there are some common objects in a multivariate Markov chain framework,and to develop a method for solving common and non-common objects’stationary probability distributions in the networks.The stationary probability distributions can be used to evaluate the importance of common and non-common objects via network-network interactions.Our experimental results based on examples of co-authorship of researchers in different conferences and paper citations in different categories have shown that the proposed model can provide useful information for researcher-researcher interactions in networks of different conferences and for paperpaper interactions in networks of different categories. 展开更多
关键词 transition probability multivariate Markov chains stationary probability distribution IRREDUCIBLE multiple networks
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