這篇論文主要研究,在一個維度上,遲滯型細胞神經網絡 (CNN)行進波解的結構。利用Monotone Iteration 及 Shooting的方法我們可以證明行進波之解結構隨著速度的改變而有不同的行為。 This thesis is concerned with the global structure of traveling waves for one-dimensional cellular neural networks with distributed delayed signal transmission. By using the monotone iteration method and shooting method, we describe the transition of wave profiles from monotonicity, damped oscillation, periodicity, unboundedness and back to monotonicity as the wave speed is varied.