Weakly Connected Neural Networks

This book is devoted to an analysis of general weakly connected neural networks (WCNNs) that can be written in the form (0.1) m Here, each Xi E IR is a vector that summarizes all physiological attributes of the ith neuron, n is the number of neurons, Ii describes the dynam­ ics of the ith neuron, an...

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Bibliographic Details
Main Authors: Hoppensteadt, Frank C., Izhikevich, Eugene M. (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 1997, 1997
Edition:1st ed. 1997
Series:Applied Mathematical Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • 2 Bifurcations in Neuron Dynamics
  • 3 Neural Networks
  • 4 Introduction to Canonical Models
  • 5 Local Analysis of WCNNs
  • 6 Local Analysis of Singularly Perturbed WCNNs
  • 7 Local Analysis of Weakly Connected Maps
  • 8 Saddle-Node on a Limit Cycle
  • 9 Weakly Connected Oscillators
  • 10 Multiple Andronov-Hopf Bifurcation
  • 11 Multiple Cusp Bifurcation
  • 12 Quasi-Static Bifurcations
  • 13 Synaptic Organizations of the Brain
  • References