Journal article
Existence and Stability of Traveling Fronts in a Lateral Inhibition Neural Network
SIAM journal on applied dynamical systems, v 11(4), pp 1543-1582
01 Jan 2012
Abstract
We consider the existence and stability of traveling front solutions of a neural network consisting of a single layer of neurons synaptically connected by lateral inhibition. For a specific "Mexican Hat" coupling function, the existence condition for traveling fronts can be reduced to the solution of an algebraic system. Our work extends the existence of traveling fronts of the classic Amari model by considering a nonsaturating piecewise linear gain function. We further establish an analytic method to investigate the linear stability of traveling front solutions in the Heaviside gain case.
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Details
- Title
- Existence and Stability of Traveling Fronts in a Lateral Inhibition Neural Network
- Creators
- Yixin Guo - Drexel University
- Publication Details
- SIAM journal on applied dynamical systems, v 11(4), pp 1543-1582
- Publisher
- Siam Publications
- Number of pages
- 40
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000312701800014
- Other Identifier
- 991019167597304721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Applied
- Physics, Mathematical