Metamorphoses of Hamiltonian systems with symmetries
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. TOC:Introduction.- 1. Four Hamiltonian Systems.- 2. Small Vibrations of Tetrahedral Molecules.- 3. The Hydrogen Atom in Crossed Fields.- 4. Quadratic Spherical Pendula.- 5. Fractional Monodromy in the 1: - 2 Resonance System.- A.The Tetrahedral Group.- B. Local Properties of Equilibria.- References.- Index
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
-
9783540243168
354024316X
- Maße
-
24 cm
- Umfang
-
IX, 149 S.
- Sprache
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Englisch
- Anmerkungen
-
graph. Darst.
Literaturverz. S. 139 - 145
- Erschienen in
-
Lecture notes in mathematics ; 1864
- Klassifikation
-
Physik
- Schlagwort
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Hamiltonsches System
Symmetrie
Verzweigung
Monodromie
- Ereignis
-
Veröffentlichung
- (wo)
-
Berlin, heidelberg, New York
- (wer)
-
Springer***5108985
- (wann)
-
2005
- Urheber
-
Efstathiou, Konstantinos
- Inhaltsverzeichnis
- Rechteinformation
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Letzte Aktualisierung
-
11.06.2025, 13:46 MESZ
Datenpartner
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Beteiligte
- Efstathiou, Konstantinos
- Springer***5108985
Entstanden
- 2005
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