Abstract:

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.

Key words: signal propagation, equilibrium solution, stability, numerical simulations