Metamorphoses of Hamiltonian systems with symmetries
Author(s)
Bibliographic Information
Metamorphoses of Hamiltonian systems with symmetries
（Lecture notes in mathematics, 1864）
Springer, c2005
Available at / 60 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||186405004266
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INTERNATIONAL CHRISTIAN UNIVERSITY LIBRARY図
V.1864410.8/L507/v.186406269281,
410.8/L507/v.186406269281 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:515.39/EF782080023588
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Note
Includes bibliographical references (p. [139]-145) and index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"