Information Dynamics Foundations and Applications
This book originated from a forefront R&D project pursued at Siemens Corporate Technology over the past several years. As a name for this project, we chose "Information Dynamics", which stands for information processing in complex dynamical systems. I
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Springer Science+Business Media, LLC
Gustavo Deco Bernd Schiinnann
Inform.ation Dynam.ics Foundations and Applications
With 89 Illustrations
,
Springer
Gustavo Deco Bemd Schiirmann Neural Computing Siemens Corporate Technology
ZTIK4
Otto-Hahn-Ring 6 Munich, D-81739 Germany
Library of Congress Cataloging-in-Publication Data Deco, Gustavo. Information dynamics: foundations and applications/Gustavo Deco, Bemd Schiirmann. p.cm. Inc1udes bibliographical references and index. ISBN 978-1-4612-6510-8 ISBN 978-1-4613-0127-1 (eBook) DOI 10.1007/978-1-4613-0127-1
1. Differential dynamical systems. 2. Information theory in mathematics. 3. Neural networks (Computer science). 1. Schiirmann, Bemd, 1944-. II. Title. QA614.8.D43 2000 00-041907 515' .352-dc21 Printed on acid-free paper. ©2001 Springer Science+Business Media New York Originally published by Springer-Verlag New York, Inc in 2001 Softcover reprint ofthe hardcover lst edition 2001 AlI rights reserved. This work may not be translated or copied in whole or)I! oart without the written oermission of the oublisher Springer Science+Business Medţa. LLC. exceDt for brief excerots in connection with reviews or scholarly anaIysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the formerare not especia1ly identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone. Production managed by Frank MCGuckin; manufacturing supervised by Jeffrey Taub. Camera-ready copy prepared from the author's PostScript files.
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Dedicated
To Maria Eugenia, Nikolas, Sebastian, and Martin Gustavo Deco
To myfamily Bernd Schiirmann
We must grasp this not only generally in theory, but also by reference to individuals in the world of sense, for with these in view we seek general theories and with these we believe that general theories ought to harmonise. Aristotle
Preface
This book originated from a forefront R&D project pursued at Siemens Corporate Technology over the past several years. As a name for this project, we chose "Information Dynamics", which stands for information processing in complex dynamical systems. In the project, we wanted to grasp the flow of information in such systems in a quantitative manner, on the one hand by making use of an existing arsenal of methods and techniques from areas such as information theory, mathematical statistics, neural networks, nonlinear dynamics, probability theory, and statistical physics, and on the other hand by deriving new methods and techniques if required. The book contains only those contributions to the above-mentioned project which lend themselves to a unifying theoretical framework. Other important results obtained in the project, such as the extens
