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Stability and Chaos in Celestial Mechanics
Alessandra Celletti
€ 160.89
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Description for Stability and Chaos in Celestial Mechanics
Paperback. This overview of classical celestial mechanics focuses the interplay with dynamical systems. Paradigmatic models introduce key concepts - order, chaos, invariant curves and cantori - followed by the investigation of dynamical systems with numerical methods. Series: Springer-Praxis Books. Num Pages: 280 pages, 43 black & white illustrations, biography. BIC Classification: PG; PHU; PHVB. Category: (G) General (US: Trade). Dimension: 240 x 170 x 14. Weight in Grams: 433.
The last decades have marked the beginning of a new era in Celestial Mech- ics. The challenges came from several di?erent directions. The stability theory of nearly-integrable systems (a class of problems which includes many models of - lestial Mechanics) pro?ted from the breakthrough represented by the Kolmogorov- Arnold-Moser theory, which also provides tools for determining explicitly the - rameter values allowing for stability. A con?nement of the actions for exponential times was guaranteed by Nekhoroshev's theorem, which gives much information about the geography of the resonances. Performing ever-faster computer simu- tionsallowedustohavedeeperinsightsintomanyquestionsofDynamicalSystems, most notably chaos theory. In this context several ... Read more
The last decades have marked the beginning of a new era in Celestial Mech- ics. The challenges came from several di?erent directions. The stability theory of nearly-integrable systems (a class of problems which includes many models of - lestial Mechanics) pro?ted from the breakthrough represented by the Kolmogorov- Arnold-Moser theory, which also provides tools for determining explicitly the - rameter values allowing for stability. A con?nement of the actions for exponential times was guaranteed by Nekhoroshev's theorem, which gives much information about the geography of the resonances. Performing ever-faster computer simu- tionsallowedustohavedeeperinsightsintomanyquestionsofDynamicalSystems, most notably chaos theory. In this context several ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
280
Condition
New
Series
Springer-Praxis Books
Number of Pages
264
Place of Publication
Berlin, Germany
ISBN
9783642261565
SKU
V9783642261565
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Stability and Chaos in Celestial Mechanics
From the reviews: “The aim of this book is to demonstrate a modern aspects of celestial mechanics. … The book contain a set of Appendices (A–G) good for quick reference to the literature … . The present excellent book is devoted to advance level undergraduate students as well as postgraduate students and researchers. The author provided comprehensive literature, 175 ... Read more