عنوان

Hamiltonian Systems with Three or More Degrees of Freedom

شابک

9789401059688

شابک

9789401146739

شماره

b408856

عنوان اصلي

Hamiltonian Systems with Three or More Degrees of Freedom

نام عام مواد

[Book]

نام نخستين پديدآور

edited by Carles Simó.

محل نشرو پخش و غیره

Dordrecht :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

1999.

عنوان فروست

NATO ASI Series, Series C:Mathematical and Physical Sciences,

مشخصه جلد

533

شاپا ي ISSN فروست

1389-2185 ;

متن يادداشت

Lectures -- CONTRIBUTIONS -- List of authors.

بدون عنوان

0

متن يادداشت

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.

شماره استاندارد بين المللي کتاب و موسيقي

9789401059688

عنوان

Springer eBooks

عنوان اصلي به زبان ديگر

Proceedings of the NATO Advanced Study Institute, S'Agaro, Spain, June 19-30, 1995

موضوع مستند نشده

Differential equations, Partial.

موضوع مستند نشده

Differential Equations.

موضوع مستند نشده

Global analysis.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Mechanics.

مستند نام اشخاص تاييد نشده

Simó, Carles.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301082900.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y