Desynchronization of large scale delayed neural networks
Yumin Chen, Ying J. Huang, Jianhong Wu · Proceedings of the American Mathematical Society · 2000
We consider a ring of identical neurons with delayed nearest neighborhood inhibitory interaction. Under general conditions, such a network has a slowly oscillatory synchronous periodic solution which is completely characterized by a scalar delay differential equation with negative feedback. Despite the fact that the slowly oscillatory periodic solution of the scalar equation is stable, we show that the associated synchronous solution is unstable if the size of the network is large.