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Spring Topology and Dynamics Conference 2006
March 23-25, 2006
University of North Carolina at Greensboro
Greensboro, NC, USA

Organizers
Gregory Bell, Alexander Chigogidze, Paul Duvall, Jan Rychtar, Jerry Vaughan

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Single Pulse Solutions for Oscillatory Coupling Functions in Neural Networks
by
Fernanda Botelho
University of Memphis
Coauthors: James Jamison and Angela Murdock

We study the existence and stability of pulse stationary solutions of an integro-differential equation modelling the coarse-grained averaged activity of a single layer of interconnected neurons. The neuronal connections considered are laterally oscillatory with an exponential rate of decay and variable phase. We identify regions in the parameter space where solutions exhibit persistent areas of excitation with single and dimpled pulses.

Date received: February 24, 2006

Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqs-80.