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|a 9789401146739 (electronic bk.)
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|a 940114673X (electronic bk.)
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|a (OCoLC)840310887
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|a Simó i Torres, Carles.
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| 245 |
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|a Hamiltonian Systems with Three or More Degrees of Freedom /
|c edited by Carles Simó.
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| 246 |
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|a Proceedings of the NATO Advanced Study Institute, S'Agaro, Spain, June 19-30, 1995
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| 264 |
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1 |
|a Dordrecht :
|b Springer Netherlands :
|b Imprint :
|b Springer,
|c 1999.
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| 300 |
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|a 1 online resource (688 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a online resource
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|a NATO ASI Series, Series C: Mathematical and Physical Sciences, 1389-2185 ;
|v 533
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| 520 |
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|a 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. <br/> 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. <br/> 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. <br/> Most of the applications presented concern celestial mechanics problems, like the asteroid problem, the design of spacecraft orbits, and methods to compute periodic solutions.
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|a Electronic resource.
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| 650 |
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|a Hamiltonian systems
|v Congresses.
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| 650 |
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7 |
|a Hamiltonian systems.
|2 fast
|0 (OCoLC)fst00950772
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| 655 |
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|a Electronic books.
|2 local
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| 655 |
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|a Conference proceedings.
|2 fast
|0 (OCoLC)fst01423772
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| 710 |
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|a SpringerLink (Online service)
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| 830 |
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|a NATO ASI series.
|n Series C,
|p Mathematical and physical sciences ;
|v 533.
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| 856 |
4 |
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|u http://proxy.library.tamu.edu/login?url=https://link.springer.com/10.1007/978-94-011-4673-9
|z Connect to the full text of this electronic book
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|a Texas A&M University
|b College Station
|c Electronic Resources
|s www_evans
|d Available Online
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|e QA614.83
|h Library of Congress classification
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| 998 |
f |
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|a QA614.83
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|l Available Online
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