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Convexity Methods in Hamiltonian Mechanics
Ivar Ekeland
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Description for Convexity Methods in Hamiltonian Mechanics
Paperback. Series: Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematics. Num Pages: 257 pages, biography. BIC Classification: PBKJ; PBKQ; PBUD; PHU. Category: (P) Professional & Vocational. Dimension: 242 x 170 x 14. Weight in Grams: 457.
In the case of completely integrable systems, periodic solutions are found by inspection. For nonintegrable systems, such as the three-body problem in celestial mechanics, they are found by perturbation theory: there is a small parameter € in the problem, the mass of the perturbing body for instance, and for € = 0 the system becomes completely integrable. One then tries to show that its periodic solutions will subsist for € -# 0 small enough. Poincare also introduced global methods, relying on the topological properties of the flow, and the fact that it preserves the 2-form L~=l dPi 1\ dqi' The ... Read more
In the case of completely integrable systems, periodic solutions are found by inspection. For nonintegrable systems, such as the three-body problem in celestial mechanics, they are found by perturbation theory: there is a small parameter € in the problem, the mass of the perturbing body for instance, and for € = 0 the system becomes completely integrable. One then tries to show that its periodic solutions will subsist for € -# 0 small enough. Poincare also introduced global methods, relying on the topological properties of the flow, and the fact that it preserves the 2-form L~=l dPi 1\ dqi' The ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
257
Condition
New
Series
Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematic
Number of Pages
247
Place of Publication
Berlin, Germany
ISBN
9783642743337
SKU
V9783642743337
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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