Coupled Oscillating Neurons

✍ Scribed by Ian Stewart (auth.), John Gerald Taylor BA, BSc, MA, PhD, FlnstP, C. L. T. Mannion BSc, PhD, MlnstP (eds.)

• Publisher: Springer-Verlag London
• Year: 1992
• Tongue: English
• Leaves: 152
• Series: Perspectives in Neural Computing
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-x
Introduction to Nonlinear Oscillators....Pages 1-20
Identical Oscillator Networks with Symmetry....Pages 21-40
Bifurcating Neurones....Pages 41-80
A Model for Low Threshold Oscillations in Neurons....Pages 81-97
Information Processing by Oscillating Neurons....Pages 98-114
Gamma Oscillations, Association and Consciousness....Pages 115-129
Modelling of cardiac rhythm: from single cells to massive networks....Pages 130-145

✦ Subjects

Artificial Intelligence (incl. Robotics); Computation by Abstract Devices; Processor Architectures; Neurosciences