书目名称 | Metamorphoses of Hamiltonian Systems with Symmetries |
编辑 | Konstantinos Efstathiou |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | .Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) as the parameters are varied. The symmetries of these systems, discrete or continuous, exact or approximate, are used to simplify the problem through a number of mathematical tools and techniques like normalization and reduction. The book moves gradually from finding relative equilibria using symmetry, to the Hamiltonian Hopf bifurcation and its relation to monodromy and, finally, to generalizations of monodromy.. |
出版日期 | Book 2005 |
关键词 | Hamiltonian; Hamiltonian mechanics; Mathematica; Vibration; atom; bifurcation; bifurcations; classical mech |
版次 | 1 |
doi | https://doi.org/10.1007/b105138 |
isbn_softcover | 978-3-540-24316-8 |
isbn_ebook | 978-3-540-31550-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2005 |