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Weakly Connected Neural Networks

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Weakly Connected Neural Networks Cover

 

Synopses & Reviews

Publisher Comments:

Devoted to local and global analysis of weakly connected systems with applications to neurosciences, this book uses bifurcation theory and canonical models as the major tools of analysis. It presents a systematic and well motivated development of both weakly connected system theory and mathematical neuroscience, addressing bifurcations in neuron and brain dynamics, synaptic organisations of the brain, and the nature of neural codes. The authors present classical results together with the most recent developments in the field, making this a useful reference for researchers and graduate students in various branches of mathematical neuroscience.

Synopsis:

This book develops the bifurcation theory for weakly connected neural networks. The authors analyze the relationship between synaptic organizations (anatomy) and dynamical properties (function) of the brain. In particular the authors show that there are some synaptic organizations that have especially rich dynamic behavior.

Description:

Includes bibliographical references (p. [381]-393) and index.

Table of Contents

On the Application of Kalman Filtering to Correct Errors due to Vertical Deflection in Inertial Navigation.
- Filtering and Detection Problems for Nonlinear Time Series.
- Spectral and Bispectral Methods for the Analysis of Nonlinear (Non-Gaussian) Time-Series Signals.
- Bilinear Time Series: Theory and Application.
- Bivariate Bilinear Models and Their Identification.
- Nonlinear Time Series Modelling in Population Biology.
- The Akaike Information Criterion in Threshold Modelling.
- Nonlinear Time Series Analysis for Dynamical Systems of Catastrophe Type.
- Nonlinear Processing with M-th Order Signals.
- Stochastic Circulatory Lymphocyte Models.

Product Details

ISBN:
9780387949482
With:
Izhikevich, Eugene
Author:
Izhikevich, Eugene
Author:
Hoppensteadt, Frank C.
Author:
Izhikevich, Eugene M.
Author:
Hoppensteadt, F. C.
Publisher:
Springer
Location:
New York :
Subject:
Mathematical Analysis
Subject:
Networking - General
Subject:
Neural Networks
Subject:
Neural networks (computer science)
Subject:
Neural networks (neurobiology)
Subject:
Analysis
Subject:
General
Subject:
Mathematical Biology in General
Subject:
Neurosciences
Subject:
Mathematical and Computational Biology
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Applied Mathematical Sciences
Series Volume:
v. 126
Publication Date:
July 1997
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
418
Dimensions:
235 x 155 mm 1700 gr

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Weakly Connected Neural Networks New Hardcover
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$180.25 In Stock
Product details 418 pages Springer-Verlag New York, Incorporated - English 9780387949482 Reviews:
"Synopsis" by , This book develops the bifurcation theory for weakly connected neural networks. The authors analyze the relationship between synaptic organizations (anatomy) and dynamical properties (function) of the brain. In particular the authors show that there are some synaptic organizations that have especially rich dynamic behavior.
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