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A problem in neural networks

Published online by Cambridge University Press:  14 November 2011

C. J. Amick
C. J. Amick
Affiliation:
Department of Mathematics, University of Chicago, 5734University Avenue, Chicago, IL 60637, U.S.A.
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Synopsis

In this paper we consider a simple model for coupled nonlinear oscillators in a continuous medium. There is shown to exist a maximal branch of phaselocked solutions connecting the trivial one to a limiting singular solution.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 118 , Issue 3-4 , 1991 , pp. 225 - 236
Copyright
Copyright © Royal Society of Edinburgh 1991

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References

1Kopell, N., Ermentrout, G. B. and Zhang, W.. Multiple coupling in chains of oscillators. SIAM J. Math. Anal. 21 (1990), 935–953.Google Scholar
2Ermentrout, G. B. and Troy, W. C.. Phaselocking in a reaction-diffusion system with a linear frequency gradient. SIAM J. Appl. Math. 4b (1986), 356–367.Google Scholar
3Ermentrout, G. B.. Synchronization in a pool of mutually coupled oscillators with random frequencies. J. Math. Biol. 22 (1985), 1–9.Google Scholar