{"product_id":"9789401059688","title":"Hamiltonian Systems with Three or More Degrees of Freedom","description":"\u003ch1\u003eHamiltonian Systems with Three or More Degrees of Freedom\u003c\/h1\u003e \u003ch2\u003eSimó, Carles\u003c\/h2\u003e \u003cp\u003eA 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. \u003cbr\u003e  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. \u003cbr\u003e  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. \u003cbr\u003e  Most of the applications presented concern celestial mechanics  problems, like the asteroid problem, the design of spacecraft orbits,  and methods to compute periodic solutions.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-11-05\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003e ISBN-10: 9789401059688\u003c\/p\u003e \u003cp\u003eISBN-13: 9789401059688\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-011-4673-9\u003c\/p\u003e \u003cp\u003eDimensions: 240cm x160cm\u003c\/p\u003e \u003cp\u003ePages: 658\u003c\/p\u003e ","brand":"Springer","offers":[{"title":"Default Title","offer_id":44358958547084,"sku":"9789401059688","price":297.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789401059688.jpg?v=1755099286","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9789401059688","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}