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Metamorphoses of Hamiltonian Systems with Symmetries / by Konstantinos Efstathiou.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Efstathiou, Konstantinos, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1864.
- Lecture Notes in Mathematics, 0075-8434 ; 1864
- Language:
- English
- Subjects (All):
- 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.
- Local Subjects:
- Theoretical, Mathematical and Computational Physics.
- Complex Systems.
- Dynamical Systems and Ergodic Theory.
- Topological Groups, Lie Groups.
- Statistical Physics and Dynamical Systems.
- Physical Description:
- 1 online resource (IX, 149 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
- System Details:
- text file PDF
- Summary:
- 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.
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540315506
- Access Restriction:
- Restricted for use by site license.
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