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Record Nr. |
UNINA9910481955003321 |
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Autore |
Efstathiou Konstantinos |
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Titolo |
Metamorphoses of Hamiltonian Systems with Symmetries / / by Konstantinos Efstathiou |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2005 |
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ISBN |
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Edizione |
[1st ed. 2005.] |
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Descrizione fisica |
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1 online resource (IX, 149 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1864 |
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Disciplina |
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Soggetti |
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Mathematical physics |
Statistical physics |
Dynamics |
Ergodic theory |
Topological groups |
Lie groups |
Theoretical, Mathematical and Computational Physics |
Complex Systems |
Dynamical Systems and Ergodic Theory |
Topological Groups, Lie Groups |
Statistical Physics and Dynamical Systems |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Introduction -- Four Hamiltonian Systems -- Small Vibrations of Tetrahedral Molecules -- The Hydrogen Atom in Crossed Fields -- Quadratic Spherical Pendula -- Fractional Monodromy in the 1: - 2 Resonance System -- The Tetrahedral Group -- Local Properties of Equilibria -- References -- Index. |
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Sommario/riassunto |
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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 |
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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. |
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