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978-3-540-31550-6
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9783540315506
978-3-540-31550-6
10.1007/b105138
doi
ISI Library, Kolkata
QC19.2-20.85
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SCI040000
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530.1
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Efstathiou, Konstantinos.
author.
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http://id.loc.gov/vocabulary/relators/aut
Metamorphoses of Hamiltonian Systems with Symmetries
[electronic resource] /
by Konstantinos Efstathiou.
Berlin, Heidelberg :
Springer Berlin Heidelberg :
Imprint: Springer,
2005.
IX, 149 p.
online resource.
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Lecture Notes in Mathematics,
0075-8434 ;
1864
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.
Differentiable dynamical systems.
Topological Groups.
Statistical physics.
Theoretical, Mathematical and Computational Physics.
http://scigraph.springernature.com/things/product-market-codes/P19005
Complex Systems.
http://scigraph.springernature.com/things/product-market-codes/P33000
Dynamical Systems and Ergodic Theory.
http://scigraph.springernature.com/things/product-market-codes/M1204X
Topological Groups, Lie Groups.
http://scigraph.springernature.com/things/product-market-codes/M11132
Statistical Physics and Dynamical Systems.
http://scigraph.springernature.com/things/product-market-codes/P19090
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783540806813
Printed edition:
9783540243168
Lecture Notes in Mathematics,
0075-8434 ;
1864
https://doi.org/10.1007/b105138
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ZDB-2-LNM
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