E Book

Metamorphoses of Hamiltonian Systems with Symmetries

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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.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.

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

Berlin, Heidelberg : Springer., 2005

Deskripsi Fisik

IX, 149 p.online resource.

Bahasa

English

ISBN/ISSN

9783540315506

Klasifikasi

530.1

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

1st ed. 2005.

Subjek

Statistical physics.
Dynamical systems.
Complex Systems.
Statistical Physics and Dynamical Systems.
Mathematical physics.
Dynamics.
Theoretical, Mathematical and Computational Physics.
Topological groups.
Lie groups.
Topological Groups, Lie Groups.
Ergodic theory.
Dynamical Systems and Ergodic Theory.

Info Detail Spesifik

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Pernyataan Tanggungjawab

Konstantinos Efstathiou.

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