Document Type

Article

Publication Date

2000

Department

Mathematics

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 di erential 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.

Comments

This article was originally published in Proceedings of the American Mathematical Society, 128(8): 2365-2371. © 2000 American Mathematical Society.

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