This volume consists of proceedings of the one-day conference on
"Coupled Oscillating Neurons" held at King's College, London on December
13th, 1990. The subject is currently of increasing interest to
neurophysiologists, neural network researchers, applied mathematicians
and physicists. The papers attempt to cover the major areas of the
subject, as the titles indicate. It is hoped that the appearance of the
papers (some of which have been updated since their original
presentation) indicates why the subject is becoming of great excitement.
A better understanding of coupled oscillating neurons may well hold the
key to a clearer appreciation of the manner in which neural networks
composed of such elements can control complex behaviour from the heart
to consciousness. December 1991 J.G. Taylor King's College, London
C.L.T. Mannion CONTENTS Contributors....... .....................
.......... .......................... .................... ix
Introduction to Nonlinear Oscillators I. Stewart
.......................................................................................
. Identical Oscillator Networks with Symmetry P.B. Ashwin
....................................................................................
21 Bifurcating Neurones AV. Holden, J. Hyde, M.A Muhamad, H.G.
Zhang....................... 41 A Model for Low Threshold Oscillations
in Neurons J.L. Hindmarsh, R.M. Rose
............................................................ 81
Information Processing by Oscillating Neurons C.L. T. Mannion, J.G.
Taylor ........................................................... 100
Gamma Oscillations, Association and Consciousness R.M.J. Cotterill, C.
Nielsen .............................................................
117 Modelling of Cardiac Rhythm: From Single Celis to Massive Networks
D. Noble, J. C. Denyer, H.F. Brown, R. Winslow, A Kimball .......... 1
32 CONTRIBUTORS Ashwin, P.B. Mathematics Institute, University of
Warwick, Coventry, CV4 7 AL, UK Brown, H.F.
