Weakly Connected Neural Networks

Name: Weakly Connected Neural Networks
SKU: 21187449
Price: 268.99 AUD
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Paperback / softback

Series:

Applied Mathematical Sciences,

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Description

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, and gi describes the interactions between neurons. The small parameter € indicates the strength of connections between the neurons. Weakly connected systems have attracted much attention since the sec ond half of seventeenth century, when Christian Huygens noticed that a pair of pendulum clocks synchronize when they are attached to a light weight beam instead of a wall. The pair of clocks is among the first weakly connected systems to have been studied. Systems of the form (0.1) arise in formal perturbation theories developed by Poincare, Liapunov and Malkin, and in averaging theories developed by Bogoliubov and Mitropolsky.

Release date Australia

September 30th, 2012

Author

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 1997

Illustrations

XVI, 402 p.

Pages

402

Series

Applied Mathematical Sciences,

Dimensions

156x234x21

ISBN-13

9781461273028

Product ID

21187449

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