Hostname: page-component-84b7d79bbc-fnpn6 Total loading time: 0 Render date: 2024-07-28T03:51:42.272Z Has data issue: false hasContentIssue false

A problem in neural networks

Published online by Cambridge University Press:  14 November 2011

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

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
Copyright
Copyright © Royal Society of Edinburgh 1991

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Kopell, N., Ermentrout, G. B. and Zhang, W.. Multiple coupling in chains of oscillators. SIAM J. Math. Anal. 21 (1990), 935953.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), 356367.Google Scholar
3Ermentrout, G. B.. Synchronization in a pool of mutually coupled oscillators with random frequencies. J. Math. Biol. 22 (1985), 19.Google Scholar