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Global Aspects of Classical Integrable Systems

CUSHMAN, Richard H. - Personal Name;

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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Detail Information
Series Title
-
Call Number
004 CUS g
Publisher
: ., 2015
Collation
XVIII, 477
Language
English
ISBN/ISSN
978-3-0348-0917-7
Classification
004
Content Type
text
Media Type
computer
Carrier Type
online resource
Edition
-
Subject(s)
Mathematical and Computational Physics
Specific Detail Info
-
Statement of Responsibility
Richard H. Cushman
Other Information
Cataloger
Khusnun
Source
-
Validator
-
Other version/related

No other version available

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  • Global Aspects of Classical Integrable Systems
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