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9789401059688 - Springer: Hamiltonian Systems with Three or More Degrees of Freedom - Book
Springer (?):

Hamiltonian Systems with Three or More Degrees of Freedom (?)

Delivery from: GermanyBook is in english languageNew book

ISBN: 9789401059688 (?) or 9401059683, in english, New

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Proceedings of the NATO Advanced Study Institute, S'Agaro, Spain, June 19-30, 1995, A survey of current knowledge about Hamiltonian systems with three or more degrees of freedom and related topics. The Hamiltonian systems appearing in most of the applications are non-integrable. Hence methods to prove non-integrability results are presented and the different meaning attributed to non-integrability are discussed. For systems near an integrable one, it can be shown that, under suitable conditions, some parts of the integrable structure, most of the invariant tori, survive. Many of the papers discuss near-integrable systems. From a topological point of view, some singularities must appear in different problems, either caustics, geodesics, moving wavefronts, etc. This is also related to singularities in the projections of invariant objects, and can be used as a signature of these objects. Hyperbolic dynamics appear as a source on unpredictable behaviour and several mechanisms of hyperbolicity are presented. The destruction of tori leads to Aubrey-Mather objects, and this is touched on for a related class of systems. Examples without periodic orbits are constructed, against a classical conjecture. Other topics concern higher dimensional systems, either finite (networks and localised vibrations on them) or infinite, like the quasiperiodic Schrödinger operator or nonlinear hyperbolic PDE displaying quasiperiodic solutions. Most of the applications presented concern celestial mechanics problems, like the asteroid problem, the design of spacecraft orbits, and methods to compute periodic solutions.
Seller order number: 29424245
Platform order number aa2300d907a5b95a2be382341d40de d6
Category: Bücher / Fremdsprachige Bücher / Englische Bücher
Keywords: Bücher
Data from 10/15/2016 12:06h
ISBN (alternative notations): 94-010-5968-3, 978-94-010-5968-8


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