Metamorphoses of Hamiltonian Systems with Symmetries
Efstathiou, Konstantinos.
creator
author.
aut
http://id.loc.gov/vocabulary/relators/aut
SpringerLink (Online service)
text
gw
2005
monographic
eng
access
IX, 149 p. online resource.
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.
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 Konstantinos Efstathiou.
Differentiable dynamical systems
Topological Groups
Statistical physics
Theoretical, Mathematical and Computational Physics
Complex Systems
Dynamical Systems and Ergodic Theory
Topological Groups, Lie Groups
Statistical Physics and Dynamical Systems
QC19.2-20.85
530.1
Springer eBooks
Lecture Notes in Mathematics, 1864
9783540315506
https://doi.org/10.1007/b105138
https://doi.org/10.1007/b105138
ISI Library, Kolkata
100806
20181203160138.0
978-3-540-31550-6