Asymptotical Behavior of a Network of Two Neurons
Guo Shangjiang · Yingyong jichu yu gongcheng kexue xuebao · 2001
We consider a network of two neurons with feedback and d elay. According to the discontinuity of signal function, analysis of the dynamic s of the network is equivalent to discuss four corresponding systems of linear n onhomogeneous ordinary differential equations. We show that the dynamics of the network can be understood in terms of the iterations of a one-dimensional map, and we obtain the convergence of solutions, the existence, multiplicty and attra ctability of periodic solutions. These results can be used to design network mod els and have important significances in theory and applications.