Phase-locking and bistability in neuronal networks with synaptic depression

Document Type

Article

Publication Date

2-1-2018

Abstract

We consider a recurrent network of two oscillatory neurons that are coupled with inhibitory synapses. We use the phase response curves of the neurons and the properties of short-term synaptic depression to define Poincaré maps for the activity of the network. The fixed points of these maps correspond to phase-locked modes of the network. Using these maps, we analyze the conditions that allow short-term synaptic depression to lead to the existence of bistable phase-locked, periodic solutions. We show that bistability arises when either the phase response curve of the neuron or the short-term depression profile changes steeply enough. The results apply to any Type I oscillator and we illustrate our findings using the Quadratic Integrate-and-Fire and Morris–Lecar neuron models.

Identifier

85032970971 (Scopus)

Publication Title

Physica D Nonlinear Phenomena

External Full Text Location

https://doi.org/10.1016/j.physd.2017.09.007

ISSN

01672789

First Page

8

Last Page

21

Volume

364

Grant

68127-00 46

Fund Ref

National Science Foundation

This document is currently not available here.

Share

COinS