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Introduction to Neural Dynamics and Signal Transmission Delay

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ISBN-10: 3110169886

ISBN-13: 9783110169881

Edition: 2001

Authors: Jianhong Wu

List price: $154.00
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In the design of a neural network, either for biological modeling, cognitive simulation, numerical computation or engineering applications, it is important to investigate the network's computational performance which is usually described by the long-term behaviors, called dynamics, of the model equations. The purpose of this book is to give an introduction to the mathematical modeling and analysis of networks of neurons from the viewpoint of dynamical systems.
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Book details

List price: $154.00
Copyright year: 2001
Publisher: Walter de Gruyter GmbH
Publication date: 5/15/2001
Binding: Hardcover
Pages: 192
Size: 7.00" wide x 9.25" long x 0.50" tall
Weight: 1.034
Language: English

The structure of neural networks
The structure of a single neuron
Transmission of neural signals
Neural circuits, CNS and ANN
Dynamic models of networks
Biological models
Signal functions
General models and network architectures
Simple networks
Outstars: pattern learning
Instars: pattern recognition
Lateral inhibition: noise-saturation dilemma
Recurrent ON-CTR OFF-SUR networks: signal enhancement and noise suppression
Determining synaptic weights
Grossberg's Learning Theorem
Content-addressable memory storage
Parallel memory storage by competitive networks
Convergence in networks with a nonsymmetric interconnection matrix
Implementation of CAM: Hopfield networks
Generic convergence in monotone networks
Signal transmission delays
Neural networks with delay and basic theory
Global stability analysis
Delay-induced instability
Hopf bifurcation of periodic solutions
A network of two neurons: McCulloch-Pitts nonlinearity
Delay-induced transient oscillations
Effect of delay on the basin of attraction
Synchronized activities
Desynchronization, phase-locked oscillation and connecting orbits