Overview
- Authored by leading researchers in the field
- Self-contained introduction and presentation
- Includes a number of worked-out examples
- New, significantly expanded edition
Part of the book series: Springer Series in Synergetics (SSSYN)
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Table of contents (6 chapters)
Keywords
About this book
This book is primarily concerned with the computational aspects of predictability of dynamical systems - in particular those where observations, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, in astronomy it is uncommon to have the possibility of altering the key parameters of the studied objects. Therefore, the numerical simulations offer an essential tool for analysing these systems, and their reliability is of ever-increasing interest and importance. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation.
This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the strong sensitivity to initial conditions and the use of Lyapunov exponents to characterize this sensitivity. This method is illustrated using several well-known continuous dynamical systems, such as the Contopoulos, Hénon-Heiles and Rössler systems. This second edition revises and significantly enlarges the material of the first edition by providing new entry points for discussing new predictability issues on a variety of areas such as machine decision-making, partial differential equations or the analysis of attractors and basins. Finally, the parts of the book devoted to the application of these ideas to astronomy have been greatly enlarged, by first presenting some basics aspects of predictability in astronomy and then by expanding these ideas to a detailed analysis of a galactic potential.
Authors and Affiliations
About the authors
Miguel A.F. Sanjuán is full professor of Physics at the Universidad Rey Juan Carlos in Madrid, Spain, where he is the Director of the Research Group in Nonlinear Dynamics, Chaos and Complex Systems. He has been a Visiting Research Professor at the University of Tokyo, funded by the Japan Society for the Promotion of Science; a Fulbright Visiting Research Scholar at the Institute for Physical Science and Technology of the University of Maryland at College Park, Visiting Research Professor at Beijing Jiaotong University, and Visiting Professor at the Kaunas Technological University. He is Honorary Professor of Sichuan University of Science and Technology (Zigong, China), and Honorary Professor of Huaqiao University (Xiamen, China). He also serves as the Editor General of the Spanish Royal Physics Society. He is a Corresponding Member of the Spanish Royal Academy of Sciences, a Foreign Member of the Lithuanian Academy of Sciences, and a regular member of the Academia Europaea. He has published the monograph Nonlinear Resonances (Springer, 2015).
Juan C. Vallejo is an astrophysicist in the Nonlinear Dynamics, Chaos and Complex Systems Research Group at the University Rey Juan Carlos since 1999. His research has focused on analyzing the impact of chaotic dynamics in computer simulations for astronomy. He worked for twenty years at the European Space Astronomy Centre in Madrid, and is also working in the Joint Center of Ultraviolet Astronomy at the Universidad Complutense of Madrid.
Bibliographic Information
Book Title: Predictability of Chaotic Dynamics
Book Subtitle: A Finite-time Lyapunov Exponents Approach
Authors: Juan C. Vallejo, Miguel A. F. Sanjuan
Series Title: Springer Series in Synergetics
DOI: https://doi.org/10.1007/978-3-030-28630-9
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-28629-3Published: 07 November 2019
Softcover ISBN: 978-3-030-28632-3Published: 07 November 2020
eBook ISBN: 978-3-030-28630-9Published: 25 October 2019
Series ISSN: 0172-7389
Series E-ISSN: 2198-333X
Edition Number: 2
Number of Pages: XIX, 196
Number of Illustrations: 28 b/w illustrations, 48 illustrations in colour
Topics: Applications of Nonlinear Dynamics and Chaos Theory, Numerical and Computational Physics, Simulation, Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics), Mathematical Applications in the Physical Sciences