عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781461218289
(Number (ISBN
9781461273028
NATIONAL BIBLIOGRAPHY NUMBER
Number
b402823
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Weakly Connected Neural Networks
General Material Designation
[Book]
First Statement of Responsibility
by Frank C. Hoppensteadt, Eugene M. Izhikevich.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1997.
SERIES
Series Title
Applied Mathematical Sciences,
Volume Designation
126
ISSN of Series
0066-5452 ;
CONTENTS NOTE
Text of Note
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.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781461273028
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Global analysis (Mathematics).
Mathematics.
Neurosciences.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Hoppensteadt, Frank C.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Izhikevich, Eugene M.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307163100.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
