Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1864)
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Table of contents (8 chapters)
Keywords
About this book
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.
Reviews
From the reviews of the first edition:
"This is a well-written book which utilizes modern methods of classical mechanics in the study of four physical Hamiltonian systems with symmetries … . Two appendices are included for completeness. … This book is likely to appeal to specialists in the area." (F. M. Mahomed, Zentralblatt MATH, Vol. 1069, 2005)
Bibliographic Information
Book Title: Metamorphoses of Hamiltonian Systems with Symmetries
Authors: Konstantinos Efstathiou
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b105138
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2005
Softcover ISBN: 978-3-540-24316-8Published: 11 February 2005
eBook ISBN: 978-3-540-31550-6Published: 28 January 2005
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: IX, 149
Topics: Theoretical, Mathematical and Computational Physics, Complex Systems, Dynamical Systems and Ergodic Theory, Topological Groups, Lie Groups, Statistical Physics and Dynamical Systems