| 書(shū)目名稱(chēng) | Multiphase Averaging for Classical Systems | | 副標(biāo)題 | With Applications to | | 編輯 | Pierre Lochak,Claude Meunier | | 視頻video | http://file.papertrans.cn/641/640869/640869.mp4 | | 叢書(shū)名稱(chēng) | Applied Mathematical Sciences | | 圖書(shū)封面 |  | | 描述 | In the past several decades many significant results in averaging for systems of ODE‘s have been obtained. These results have not attracted a tention in proportion to their importance, partly because they have been overshadowed by KAM theory, and partly because they remain widely scattered - and often untranslated - throughout the Russian literature. The present book seeks to remedy that situation by providing a summary, including proofs, of averaging and related techniques for single and multiphase systems of ODE‘s. The first part of the book surveys most of what is known in the general case and examines the role of ergodicity in averaging. Stronger stability results are then obtained for the special case of Hamiltonian systems, and the relation of these results to KAM Theory is discussed. Finally, in view of their close relation to averaging methods, both classical and quantum adiabatic theorems are considered at some length. With the inclusion of nine concise appendices, the book is very nearly self-contained, and should serve the needs of both physicists desiring an accessible summary of known results, and of mathematicians seeing an introduction to current areas of research in | | 出版日期 | Book 1988 | | 關(guān)鍵詞 | Fourier series; KAM theory; Kolmogorov–Arnold–Moser theorem; hamiltonian system; integrable system; maxim | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-1044-3 | | isbn_softcover | 978-0-387-96778-3 | | isbn_ebook | 978-1-4612-1044-3Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer-Verlag New York Inc. 1988 |
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