Chaos Detection and Predictability

Distinguishing chaoticity from regularity in deterministic dynamical systems and specifying the subspace of the phase space in which instabilities are expected to occur is of utmost importance in as disparate areas as astronomy, particle physics and clima

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Charalampos Haris Skokos Georg A. Gottwald Jacques Laskar Editors

Chaos Detection and Predictability

Lecture Notes in Physics

Volume 915

Founding Editors W. Beiglböck J. Ehlers K. Hepp H. Weidenmüller Editorial Board M. Bartelmann, Heidelberg, Germany B.-G. Englert, Singapore, Singapore P. Hänggi, Augsburg, Germany M. Hjorth-Jensen, Oslo, Norway R.A.L. Jones, Sheffield, UK M. Lewenstein, Barcelona, Spain H. von Löhneysen, Karlsruhe, Germany J.-M. Raimond, Paris, France A. Rubio, Donostia, San Sebastian, Spain M. Salmhofer, Heidelberg, Germany S. Theisen, Golm, Germany D. Vollhardt, Augsburg, Germany J. Wells, Michigan, USA G.P. Zank, Huntsville, USA

The Lecture Notes in Physics The series Lecture Notes in Physics (LNP), founded in 1969, reports new developments in physics research and teaching-quickly and informally, but with a high quality and the explicit aim to summarize and communicate current knowledge in an accessible way. Books published in this series are conceived as bridging material between advanced graduate textbooks and the forefront of research and to serve three purposes: • to be a compact and modern up-to-date source of reference on a well-defined topic • to serve as an accessible introduction to the field to postgraduate students and nonspecialist researchers from related areas • to be a source of advanced teaching material for specialized seminars, courses and schools Both monographs and multi-author volumes will be considered for publication. Edited volumes should, however, consist of a very limited number of contributions only. Proceedings will not be considered for LNP. Volumes published in LNP are disseminated both in print and in electronic formats, the electronic archive being available at springerlink.com. The series content is indexed, abstracted and referenced by many abstracting and information services, bibliographic networks, subscription agencies, library networks, and consortia. Proposals should be sent to a member of the Editorial Board, or directly to the managing editor at Springer: Christian Caron Springer Heidelberg Physics Editorial Department I Tiergartenstrasse 17 69121 Heidelberg/Germany [email protected]

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Charalampos Haris Skokos • Georg A. Gottwald • Jacques Laskar Editors

Chaos Detection and Predictability

123

Editors Charalampos Haris Skokos Department of Mathematics and Applied Mathematics University of Cape Town Rondebosch, South Africa

Georg A. Gottwald School of Mathematics and Statistics University of Sydney Sydney, Australia

Jacques Laskar Observatoire de Paris IMCCE Paris, France

ISSN 0075-8450 Lecture Notes in Physics ISBN 978-3-662-48408-1 DOI 10.1007/978-3-662-48410-4

ISSN 1616-6361 (electronic) ISBN 978-3-662-48410-4 (eBook)

Library of Congress Control Number: 2015959798 Springer Heidelberg New York Dordrecht London © Springer-Verlag Berlin Heidelberg 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part o