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Title | Chaos Detection and Predictability |
Author(s) | Skokos, Charalampos (Haris);Gottwald, Georg A;Laskar, Jacques |
Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2016. |
Description | XI, 269 p. 122 illus., 44 illus. in color : online resource |
Abstract Note | 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. 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. 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 techniques for graduate students and non-specialists. 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 |
ISBN,Price | 9783662484104 |
Keyword(s) | 1. Applications of Nonlinear Dynamics and Chaos Theory
2. Earth System Sciences
3. EBOOK
4. EBOOK - SPRINGER
5. Mathematical Applications in the Physical Sciences
6. Mathematical Methods in Physics
7. MATHEMATICAL PHYSICS
8. Physical geography
9. PHYSICS
10. SPACE SCIENCES
11. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)
12. STATISTICAL PHYSICS
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Item Type | eBook |
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Circulation Data
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Call# | Status | Issued To | Return Due On | Physical Location |
I10263 |
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