一类用于模拟信号传播系统的模型

A Model of Signal Propagation System

研究一类用于模拟信号传播系统的模型,以模型中4个时滞之和为参数,通过对该模型平衡解个数的分析,得到了其Pitchfork分支曲线是一条直线,进而研究了每个平衡解的稳定性,并给出一个算例进行了数值模拟,数值结果与理论结果一致.

The authors investigated a simple model of signal propagation system. With the sum of the four time delays being regarded as a parameter, it was proved that the Pitchfork bifurcation curve of the model is a straight line on the basis of the analysis of the quantity of the equilibrium solutions. Furthermore, the stability of each equilibrium solution was thus studied. Finally, an example was given and numerical simulations were performed to illustrate the obtained results, the numerical result agrees well with the theory.