Introduction to Neural Dynamics and Signal Transmission Delay

Name: Introduction to Neural Dynamics and Signal Transmission Delay
Price: 73.89 USD
Availability: InStock
ISBN: 9783110169881

ISBN-10: 3110169886

ISBN-13: 9783110169881

Edition: 2001

Authors: Jianhong Wu

List price: $154.00

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Description:

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.

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: 1.056
Language: English



Preface



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


Bibliography


Index