Metamorphoses of Hamiltonian systems with symmetries / Konstantinos Efstathiou.
"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 (metamorpho...
Saved in:
| Main Author: | |
|---|---|
| Format: | Ebook |
| Language: | English |
| Published: |
New York :
Springer,
[2005]
|
| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1864. |
| Subjects: | |
| Online Access: | Springer eBooks Table of contents |
| Summary: | "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."--Publisher's website. |
|---|---|
| Physical Description: | 1 online resource (ix, 149 pages) : illustrations. |
| Format: | Mode of access: World Wide Web. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 1281402222 3540315500 9781281402226 9783540315506 |