Convexity Methods in Hamiltonian Mechanics

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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 s...
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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 s...
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  • Formats: pdf
  • ISBN: 9783642743313
  • Publication Date: 6 Dec 2012
  • Publisher: Springer Berlin Heidelberg
  • Product language: English
  • Drm Setting: DRM