| 书目名称 | Hamiltonian Systems with Three or More Degrees of Freedom | | 编辑 | Carles Simó | | 视频video | http://file.papertrans.cn/421/420641/420641.mp4 | | 丛书名称 | Nato Science Series C: | | 图书封面 |  | | 描述 | A survey of current knowledge about Hamiltonian systems withthree or more degrees of freedom and related topics. The Hamiltoniansystems appearing in most of the applications are non-integrable.Hence methods to prove non-integrability results are presented and thedifferent meaning attributed to non-integrability are discussed. Forsystems near an integrable one, it can be shown that, under suitableconditions, some parts of the integrable structure, most of theinvariant tori, survive. Many of the papers discuss near-integrablesystems. .From a topological point of view, some singularities must appear indifferent problems, either caustics, geodesics, moving wavefronts,etc. This is also related to singularities in the projections ofinvariant objects, and can be used as a signature of these objects.Hyperbolic dynamics appear as a source on unpredictable behaviour andseveral mechanisms of hyperbolicity are presented. The destruction oftori leads to Aubrey-Mather objects, and this is touched on for arelated class of systems. Examples without periodic orbits areconstructed, against a classical conjecture. .Other topics concern higher dimensional systems, either finite(networks and localised | | 出版日期 | Book 1999 | | 关键词 | Kolmogorov–Arnold–Moser theorem; Signatur; degrees of freedom; dynamics; mechanics; partial differential | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-011-4673-9 | | isbn_softcover | 978-94-010-5968-8 | | isbn_ebook | 978-94-011-4673-9Series ISSN 1389-2185 | | issn_series | 1389-2185 | | copyright | Springer Science+Business Media Dordrecht 1999 |
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