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Global aspects of classical integrab...

Bates, Larry M.

Global aspects of classical integrable systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Global aspects of classical integrable systemsby Richard H. Cushman, Larry M. Bates.
Author:	Cushman, Richard H.
other author:	Bates, Larry M.
Published:	Basel :Springer Basel :2015.
Description:	xviii, 477 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Dynamics.
Online resource:	http://dx.doi.org/10.1007/978-3-0348-0918-4
ISBN:	9783034809184 (electronic bk.)

Global aspects of classical integrable systems
Cushman, Richard H.

Global aspects of classical integrable systems[electronic resource] /by Richard H. Cushman, Larry M. Bates. - 2nd ed. - Basel :Springer Basel :2015. - xviii, 477 p. :ill., digital ;24 cm.

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.

ISBN: 9783034809184 (electronic bk.)

Standard No.: 10.1007/978-3-0348-0918-4doiSubjects--Topical Terms:

189568
Dynamics.

LC Class. No.: QA845

Dewey Class. No.: 514.74

Global aspects of classical integrable systems
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100 1 $a Cushman, Richard H. $3 727015
245 1 0 $a Global aspects of classical integrable systems $h [electronic resource] / $c by Richard H. Cushman, Larry M. Bates.
250 $a 2nd ed.
260 $a Basel : $b Springer Basel : $b Imprint: Birkhauser, $c 2015.
300 $a xviii, 477 p. : $b ill., digital ; $c 24 cm.
520 $a 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.
650 0 $a Dynamics. $3 189568
650 0 $a Hamiltonian systems. $3 207807
650 1 4 $a Physics. $3 179414
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 376743
700 1 $a Bates, Larry M. $3 727016
710 2 $a SpringerLink (Online service) $3 273601
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856 4 0 $u http://dx.doi.org/10.1007/978-3-0348-0918-4
950 $a Physics and Astronomy (Springer-11651)