Desynchronization of large scale delayed neural networks

Chen, Yuming; Huang, Ying; Wu, Jianhong

doi:10.1090/S0002-9939-00-05635-5

Desynchronization of large scale delayed neural networks
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by Yuming Chen, Ying Sue Huang and Jianhong Wu PDF

Proc. Amer. Math. Soc. 128 (2000), 2365-2371 Request permission

Abstract:

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.

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