Mathematics Faculty Articles

Title

On the Formation of Persistent States in Neuronal Network Models of Feature Selectivity

Document Type

Article

Publication Date

6-1-2003

Publication Title

Journal of Integrative Neuroscience

Keywords

Neuronal dynamics, Feature selectivity, Persistent states, Working memory

ISSN

0219-6352

Volume

2

Issue/No.

1

First Page

103

Last Page

125

Abstract

We study the existence and stability of localized activity states in neuronal network models of feature selectivity with either a ring or spherical topology. We find that the neural field has mono-stable, bi-stable, and tri-stable regimes depending on the parameters of the weighting function. In the case of homogeneous inputs, these localized activity states are marginally stable with respect to rotations. The response of a stable equilibrium to an inhomogeneous input is also determined

DOI

10.1142/S0219635203000202

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