Numerical Tools for Studies of Dynamical Chaos
In this chapter, we concentrate on numerical tools needed to characterize the chaotic behaviour in problems of celestial mechanics addressed further on in the book. We consider methods of computation of Lyapunov exponents, FLI (fast Lyapunov indicators),
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Ivan I. Shevchenko
Dynamical Chaos in Planetary Systems
Astrophysics and Space Science Library Volume 463
Series Editor Steven N. Shore, Dipartimento di Fisica “Enrico Fermi”, Università di Pisa, Pisa, Italy
The Astrophysics and Space Science Library is a series of high-level monographs and edited volumes covering a broad range of subjects in Astrophysics, Astronomy, Cosmology, and Space Science. The authors are distinguished specialists with international reputations in their fields of expertise. Each title is carefully supervised and aims to provide an in-depth understanding by offering detailed background and the results of state-of-the-art research. The subjects are placed in the broader context of related disciplines such as Engineering, Computer Science, Environmental Science, and Nuclear and Particle Physics. The ASSL series offers a reliable resource for scientific professional researchers and advanced graduate students. Series Editor: STEVEN N. SHORE, Dipartimento di Fisica “Enrico Fermi”, Università di Pisa, Pisa, Italy Advisory Board: F. BERTOLA, University of Padua, Italy C. J. CESARSKY, Commission for Atomic Energy, Saclay, France P. EHRENFREUND, Leiden University, The Netherlands O. ENGVOLD, University of Oslo, Norway E. P. J. VAN DEN HEUVEL, University of Amsterdam, The Netherlands V. M. KASPI, McGill University, Montreal, Canada J. M. E. KUIJPERS, University of Nijmegen, The Netherlands H. VAN DER LAAN, University of Utrecht, The Netherlands P. G. MURDIN, Institute of Astronomy, Cambridge, UK B. V. SOMOV, Astronomical Institute, Moscow State University, Russia R. A. SUNYAEV, Max Planck Institute for Astrophysics, Garching, Germany
More information about this series at http://www.springer.com/series/5664
Ivan I. Shevchenko
Dynamical Chaos in Planetary Systems
Ivan I. Shevchenko Pulkovo Observatory, Saint Petersburg State University Saint Petersburg, Russia
ISSN 0067-0057 ISSN 2214-7985 (electronic) Astrophysics and Space Science Library ISBN 978-3-030-52143-1 ISBN 978-3-030-52144-8 (eBook) https://doi.org/10.1007/978-3-030-52144-8 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher
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