Stationary bumps in a piecewise smooth neural field model with synaptic depression

We analyze the existence and stability of stationary pulses or bumps in a one–dimensional piecewise smooth neural field model with synaptic depression. The continuum dynamics is described in terms of a nonlocal integrodifferential equation, in which the integral kernel represents the spatial distrib...

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Bibliographic Details
Main Authors: Bressloff, P, Kilpatrick, Z
Format: Journal article
Published: 2010