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Coupled Oscillating Neurons

  • John Gerald Taylor
  • C. L. T. Mannion

Part of the Perspectives in Neural Computing book series (PERSPECT.NEURAL)

Table of contents

  1. Front Matter
    Pages i-x
  2. Ian Stewart
    Pages 1-20
  3. A. V. Holden, J. Hyde, M. A. Muhamad, H. G. Zhang
    Pages 41-80
  4. J. L. Hindmarsh, R. M. Rose
    Pages 81-97
  5. C. L. T. Mannion, J. G. Taylor
    Pages 98-114
  6. Rodney M. J. Cotterill, Claus Nielsen
    Pages 115-129
  7. D. Noble, J. C. Denyer, H. F. Brown, R. Winslow, A. Kimball
    Pages 130-145

About these proceedings

Introduction

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.

Keywords

Bifurcation Neuron Visual Segmentation artificial intelligence consciousness control information processing mathematics modeling neural network neural networks neurons

Editors and affiliations

  • John Gerald Taylor
    • 1
  • C. L. T. Mannion
    • 2
  1. 1.Department of MathematicsKing’s CollegeLondonUK
  2. 2.Department of Electrical EngineeringUniversity of SurreyGuildford, SurreyUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-1965-4
  • Copyright Information Springer-Verlag London 1992
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-19744-7
  • Online ISBN 978-1-4471-1965-4
  • Series Print ISSN 1431-6854
  • Buy this book on publisher's site