| 书目名称 | Critical Point Theory for Lagrangian Systems |
| 编辑 | Marco Mazzucchelli |
| 视频video | |
| 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 |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 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 |
| 关键词 | 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 |
发表于 2025-3-21 17:17:44
