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

Stationary Probability and Extremum Distribution in Logistic Growth Process with Small Time Delay

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。

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.