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Metamorphoses of Hamiltonian systems with symmetries Konstantinos Efstathiou

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Efstathiou, Konstantinos [aut]

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TextVerlagsnummer: 11376651Sprache: Englisch Reihen: ; 186400 | Lecture notes in mathematics ; 1864Verlag: Berlin Heidelberg [u.a.] Springer 2005Beschreibung: IX, 149 S graph. Darst 24 cmInhaltstyp:

Text

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ISBN:

354024316X

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Andere physische Formen: Online-Ausg.: Metamorphoses of Hamiltonian Systems with SymmetriesLOC-Klassifikation:

QA3
QC20.7.H35

Andere Klassifikation:

17,1
SI 850
UF 1950
*70-02
70H33
70K50
70K30
81V55
33.06

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Zusammenfassung: 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.- IndexAndere Ausgaben: Online-Ausg.: / Metamorphoses of Hamiltonian Systems with Symmetries

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Titelinformationen ( 5 )

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Medientyp	Aktuelle Bibliothek	Sammlung	Standort	Signatur	Status	Fälligkeitsdatum	Barcode
Buch	Gebäude E2 3 (UdS Campusbibliothek für Informatik und Mathematik)	Campusbibliothek für Informatik und Mathematik (E2 3)	Series (GF)	LNM 1864 (Regal durchstöbern(Öffnet sich unterhalb))	Verfügbar		2202000369875

Literaturverz. S. [139] - 145

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

Metamorphoses of Hamiltonian Systems with Symmetries

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