ENGLISH

Global Aspects of Classical Integrable Systems

By Richard H. Cushman , Larry M. Bates

Book information

Publisher
Birkhäuser Basel
Year
2004
ISBN
3764354852, 9783764354855
LCC
QA845 .C87 1997
Open Library ID
OL1011737M
Language
english
Format
DJVU
Filesize
6 MB (5949069 bytes)
Edition
1
Pages
449\449
Topic
Physics
Time added
2010-05-31 15:29:46

Description

This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic oscillator, the geodesic flow on the 3-sphere, the Euler top, the spherical pendulum and the Lagrange top. It presents for the first time in book form a general theory of symmetry reduction which allows one to reduce the symmetries in the spherical pendulum and the Lagrange top. Also the monodromy obstruction to the existence of global action angle coordinates is calculated for the spherical pendulum and the Lagrange top. The book addresses professional mathematicians and graduate students and can be used as a textbook on advanced classical mechanics or global analysis.

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