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Stability and Chaos in Celestial Mechanics
Alessandra Celletti
€ 246.04
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Description for Stability and Chaos in Celestial Mechanics
Hardback. 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: 264 pages, 43 black & white illustrations, biography. BIC Classification: PBWR; PG; PHD; PHVB. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 246 x 178 x 20. Weight in Grams: 670.
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
Hardback
Publication date
2009
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
264
Condition
New
Series
Springer-Praxis Books
Number of Pages
264
Place of Publication
Berlin, Germany
ISBN
9783540851455
SKU
V9783540851455
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-2
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