Coupled Oscillating Neurons

1. Front Matter

   Pages i-x

   PDF

2. Introduction to Nonlinear Oscillators

   • Ian Stewart

   Pages 1-20

3. Identical Oscillator Networks with Symmetry

   • Peter Ashwin

   Pages 21-40

4. Bifurcating Neurones

   • A. V. Holden, J. Hyde, M. A. Muhamad, H. G. Zhang

   Pages 41-80

5. A Model for Low Threshold Oscillations in Neurons

   • J. L. Hindmarsh, R. M. Rose

   Pages 81-97

6. Information Processing by Oscillating Neurons

   • C. L. T. Mannion, J. G. Taylor

   Pages 98-114

7. Gamma Oscillations, Association and Consciousness

   • Rodney M. J. Cotterill, Claus Nielsen

   Pages 115-129

8. Modelling of cardiac rhythm: from single cells to massive networks

   • D. Noble, J. C. Denyer, H. F. Brown, R. Winslow, A. Kimball

   Pages 130-145

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 toMassive 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.

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

• Department of Mathematics, King’s College, London, UK

  John Gerald Taylor

• Department of Electrical Engineering, University of Surrey, Guildford, Surrey, UK

  C. L. T. Mannion

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