| 書目名稱 | Critical Point Theory for Lagrangian Systems | | 編輯 | Marco Mazzucchelli | | 視頻video | http://file.papertrans.cn/241/240091/240091.mp4 | | 概述 | Collects, in a rigorous and consistent style, many important results that are sparse in the literature.Exposition is self-contained.Arguments are presented in an elementary way in order to be accessib | | 叢書名稱 | Progress in Mathematics | | 圖書封面 |  | | 描述 | Lagrangian systems constitute a very important and old class in dynamics. Their origin dates back to the end of the eighteenth century, with Joseph-Louis Lagrange’s reformulation of classical mechanics. The main feature of Lagrangian dynamics is its variational flavor: orbits are extremal points of an action functional. The development of critical point theory in the twentieth century provided a powerful machinery to investigateexistence and multiplicity questions for orbits of Lagrangian systems. This monograph gives a modern account of the application of critical point theory, and more specifically Morse theory, to Lagrangian dynamics, with particular emphasis toward existence and multiplicity of periodic orbits of non-autonomous and time-periodic systems. | | 出版日期 | Book 2012 | | 關(guān)鍵詞 | Euler-Lagrange equations; Lagrangian dynamics; Morse theory; periodic orbits | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0163-8 | | isbn_softcover | 978-3-0348-0782-1 | | isbn_ebook | 978-3-0348-0163-8Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Springer Basel AG 2012 |
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