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具有小延时反馈的逻辑生长过程中的稳态概率与极值分布
引用本文:丁川,韩立波.具有小延时反馈的逻辑生长过程中的稳态概率与极值分布[J].长江大学学报,2009(2):26-28.
作者姓名:丁川  韩立波
作者单位:长江大学物理科学与技术学院,湖北荆州434023
基金项目:湖北省教育厅重大项目(Z200612001)
摘    要:应用小延时近似方法,研究了关联高斯白噪声诱导的具有延时反馈的逻辑生长过程,得到了系统的稳态概率分布,分析了延时对稳态概率分布的影响,并对理论分析的结果进行了数值模拟比较。在参数空间中确定了稳态概率的极值区域,研究了延时对极值区域分布的影响。研究结果表明,延时反馈可以导致类相变现象的产生。

关 键 词:逻辑生长模型  关联噪声  延时反馈  稳态概率  极值

Stationary Probability and Extremum Distribution in Logistic Growth Process with Small Time Delay
DING Chuan,HAN Li-bo.Stationary Probability and Extremum Distribution in Logistic Growth Process with Small Time Delay[J].Journal of Yangtze University,2009(2):26-28.
Authors:DING Chuan  HAN Li-bo
Institution:DING Chuan,HAN Li-bo(Yangtze University,Jingzhou 434023)
Abstract:The theory of small time delay approach is applied to logistic growth process with time-delay feedback driven by correlated noises.The stationary probability distribution of the logistic growth process is studied both theoretically and numerically.The area distribution of the extremum is obtained by numerical analyzed technique,the like-phase transition phenomena induced by time delay are found.
Keywords:logistic growth model  correlated noises  time-delayed feedback  steady-state probability  
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