Editors:
- Edited and authored by pioneers in the field
- Comprehensive and self-contained introduction and overview
- Useful as text for advanced courses and for self-study
Part of the book series: Lecture Notes in Physics (LNP, volume 915)
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Table of contents (9 chapters)
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Front Matter
About this book
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 climate dynamics.
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To address these issues there exists a plethora of methods for chaos detection and predictability. The most commonly employed technique for investigating chaotic dynamics, i.e. the computation of Lyapunov exponents, however, may suffer a number of problems and drawbacks, for example when applied to noisy experimental data.
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In the last two decades, several novel methods have been developed for the fast and reliable determination of the regular or chaotic nature of orbits, aimed at overcoming the shortcomings of more traditional techniques. This set of lecture notes and tutorial reviews serves as an introduction to and overview of modern chaos detection and predictability techniquesfor graduate students and non-specialists.Â
The book covers theoretical and computational aspects of traditional methods to calculate Lyapunov exponents, as well as of modern techniques like the Fast (FLI), the Orthogonal (OFLI) and the Relative (RLI) Lyapunov Indicators, the Mean Exponential Growth factor of Nearby Orbits (MEGNO), the Smaller (SALI) and the Generalized (GALI) Alignment Index and the ‘0-1’ test for chaos.
Editors and Affiliations
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University of Cape Town, Department of Mathematics and Applied Ma, Rondebosch, South Africa
Charalampos (Haris) Skokos
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School of Mathematics and Statistics, University of Sydney, Sydney, Australia
Georg A. Gottwald
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Observatoire de Paris, IMCCE, Paris, France
Jacques Laskar
Bibliographic Information
Book Title: Chaos Detection and Predictability
Editors: Charalampos (Haris) Skokos, Georg A. Gottwald, Jacques Laskar
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-662-48410-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2016
Softcover ISBN: 978-3-662-48408-1Published: 04 March 2016
eBook ISBN: 978-3-662-48410-4Published: 04 March 2016
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: XI, 269
Number of Illustrations: 78 b/w illustrations, 44 illustrations in colour
Topics: Applications of Nonlinear Dynamics and Chaos Theory, Mathematical Methods in Physics, Mathematical Applications in the Physical Sciences, Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics), Earth System Sciences