Limits of Predictability

One of the driving forces behind much of modern science and technology is the desire to foresee and thereby control the future. In recent years, however, it has become clear that, even in a deterministic world, there is alimit to the accuracy with which w

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Editor: Hermann Haken

Synergetics, an interdisciplinary field of research, is concerned with the cooperation of individual parts of a system that produces macroscopic spatial, temporal or functional structures. It deals with determmistlc as well as stochastic processes. 38 Computational Systems - Natural and Artificial Editor: H. Haken 39 From Chemical to Biological Organization Editors: M. Markus, S. C. Muller, G. Nicolls 40 Information and Self·Organization A Macroscopic Approach to Complex Systems By H. Haken 41 Propagation in Systems Far from Equilibrium Editors: J. E. Wesfreid, H. R. Brand, P Manneville, G. Albmet, N. Boccara 42 Neural and Synergetic Computers Editor' H. Haken 43 Cooperative Dynamics in Complex Physical Systems Editor' H. Takayama 44 Optimal Structures in Heterogeneous Reaction Systems Editor: P. J. Plath 45 Synergetics of Cognition Editors: H. Haken, M. Stadler 46 Theories of Immune Networks Editors: H. Atlan, I. R. Cohen 47 Relative Information Theones and Applications By G. Jumarie 48 Dissipative Structures in Transport Processes and Combustion Editor: D. Memkohn 49 Neuronal Cooperativity Editor. J. Kruger 50 Synergetic Computers and Cognition A Top-Down Approach to Neural Nets By H. Haken

Volumes 1-37 are listed at the end of the book

51 Foundations of Synergetics I Distributed Active Systems By A. S. Mikhailov 52 Foundations of Synergetics II Complex Patterns By A. Yu. Loskutov, A. S. Mikhailov 53 Synergetic Economics

By W.-B. Zhang

54 Quantum Signatures of Chaos By F. Haake 55 Rhythms in Physiological Systems Editors: H. Haken, H. P. Koepchen 56 Quantum Noise

By C. W. Gardmer

57 Nonlinear Nonequilibrium Thermodynamics I Linear and Nonlinear Fluctuatlon-DI~sipation Theorems By R. Stratonovlch 58 Self·organization and Clinical Psychology Emplflcal Approaches to Synergetics m P~ychology Editors: W. Tschacher, G. Schiepek, EJ. Brunner 59 Nonlinear Nonequilibrium Thermodynamics II Advanced Theory By R. Stratonovich 60 Limits of Predictability Editor: Yu. A Kravtsov 61 Self·Organization as a Paradigm in Science Editors R. K Mishra, D MaaB, E. ZWlerlem 62 Interdisciplinary Approaches to Nonlinear Complex Systems Editors: H Haken, A. Mikhallov

Yurii A. Kravtsov

(Ed.)

Limits of Predictability With 62 Figures

Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest

Professor Dr. Yurii A. Kravtsov Institute of General Physics, Small Venture GROT, Russian Academy of Sciences, Vavilov Street 38, Moscow 117942, Russia

Series Editor:

Professor Dr. Dr. h. c. Hennann Haken Institut fiir Theoretische Physik und Synergetik der Universitiit Stuttgart, 0-70550 Stuttgart, Germany and Center for Complex Systems, Florida Atlantic University, Boca Raton, FL 33431, USA

ISBN 978-3-642-51010-6 ISBN 978-3-642-51008-3 (eBook) DOl 10.1007/978-3-642-51008-3 Library of Congress Cataloging-in-Publication Data. Limits of predictability 1[edited byI Yurii A. Kravtsov. p. cm. - (Springer series in synergetics; v. 60) Includes bibliographical references and index. \. Predict