Role of synaptic delay in organizing the behavior of networks of self-inhibiting neurons

Document Type

Article

Publication Date

12-1-2001

Abstract

We consider a pair of mutually coupled inhibitory neurons in which each neuron is also self-inhibitory. We show that the size of the synaptic delay determines the existence and stability of solutions. For small delays, there is no synchronous solution, but a stable antiphase and a stable on-state solution. For long delays, only the synchronous solution is stable. For intermediate delays, either the antiphase or synchronous solutions are stable. In contrast to prior work, for stability of synchrony, we only require the existence of a single slow process. © 2001 The American Physical Society.

Identifier

4243809616 (Scopus)

Publication Title

Physical Review E Statistical Nonlinear and Soft Matter Physics

External Full Text Location

https://doi.org/10.1103/PhysRevE.63.021908

e-ISSN

15502376

ISSN

15393755

PubMed ID

11308519

First Page

0219081

Last Page

02190813

Issue

2 I

Volume

63

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