Existence and uniqueness of travelling waves for a neural network
- 1 January 1993
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 123 (3) , 461-478
- https://doi.org/10.1017/s030821050002583x
Abstract
Synopsis: A one-dimensional scalar neural network with two stable steady states is analysed. It is shown that there exists a unique monotone travelling wave front which joins the two stable states. Some additional properties of the wave such as the direction of its velocity are discussed.Keywords
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