Global aspects of classical integrable systems
Richard H. Cushman, Larry M. Bates
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.
श्रेणियाँ:
साल:
2004
संस्करण:
1
प्रकाशन:
Birkhäuser Basel
भाषा:
english
पृष्ठ:
449
ISBN 10:
3764354852
ISBN 13:
9783764354855
फ़ाइल:
DJVU, 3.44 MB
IPFS:
,
english, 2004
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