Brain Dynamics

Synchronization and Activity Patterns in Pulse-Coupled Neural Nets with Delays and Noise

  • Hermann Haken
Part of the Springer Series in Synergetics book series (SSSYN)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Basic Experimental Facts and Theoretical Tools

  3. Spiking in Neural Nets

  4. Phase Locking, Coordination and Spatio-Temporal Patterns

    1. Front Matter
      Pages 181-181
    2. Pages 195-213
  5. Conclusion

    1. Front Matter
      Pages 215-215
    2. Pages 217-224
    3. Pages 225-227
  6. Back Matter
    Pages 229-248

About this book

Introduction

This book addresses a large variety of models in mathematical and computational neuroscience. It is written for the experts as well as for graduate students wishing to enter this fascinating field of research. The author studies the behaviour of large neural networks composed of many neurons coupled by spike trains. He devotes the main part to the synchronization problem. He presents neural net models more realistic than the conventional ones by taking into account the detailed dynamics of axons, synapses and dendrites, allowing rather arbitrary couplings between neurons. He gives a complete stabile analysis that goes significantly beyond what has been known so far. He also derives pulse-averaged equations including those of the Wilson--Cowan and the Jirsa-Haken-Nunez types and discusses the formation of spatio-temporal neuronal activity pattems. An analysis of phase locking via sinusoidal couplings leading to various kinds of movement coordination is included.

Keywords

Computational Neuroscience Dynamical Systems Movement control Neural Nets Neuronal Systems Synapse Synaptic Models artificial intelligence neurons

Authors and affiliations

  • Hermann Haken
    • 1
  1. 1.Institut für theoretische Physik und SynergetikUniversität StuttgartStuttgartGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-46284-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-46282-8
  • Online ISBN 978-3-540-46284-2
  • Series Print ISSN 0172-7389
  • About this book