Metamorphoses of Hamiltonian Systems with Symmetries: 1864 (Lecture Notes in Mathematics, 1864) - Softcover

Efstathiou, Konstantinos

Softcover

ISBN 10: 354024316X ISBN 13: 9783540243168

Publisher: Springer, 2005

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2005
• Language: English
• ISBN 10: 354024316X
• ISBN 13: 9783540243168
• Binding: Paperback
• Number of pages: 158