Existence And Stability Of Periodic Solution For Two Types Of Interval Cellular Neural Networks With Distributed Delays

In this paper, we have discussed existence and exponential stability of periodic solutions for the interval cellular neural networks with continuous distributed time delays and S-type distributed time delays, and have discussed the periodic solutions for infinite internal static neural networks with S-type distributed time delays.In first chapter, we have discussed existence and exponential stability of periodic solutions for the interval cellular neural networks with continuous distributed time delays. By constructing the Lyapunov functions, we obtain an inequality to construct a contraction mapping, which shows existence and exponential stability of periodic solutions. An example shows that the results in the paper are true.In the second chapter, we have discussed existence and exponential stability of periodic solutions for the interval cellular neural networks with S-type distributed time delays. Taking advantage of the Lyapunov functions and the contraction mapping, we have obtained the criteria to determine existence and exponential stability of periodic solutions.An example is given to illustrate the practicality of the results in the paperIn the third chapter, we investigate the global periodic attractor of infinite internal static neural networks with S-type distributed time delays and give an example to illustrate our results.The conclusion is shown in third section, and some problems are concluded.