Marsden, Jerrold E. and Scheurle, Jürgen (1993) Lagrangian Reduction and the Double Spherical Pendulum. Zeitschrift für Angewandte Mathematick und Physik, 44 (1). pp. 17-43. ISSN 0044-2275 http://resolver.caltech.edu/CaltechAUTHORS:20100908-095935372
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Abstract
This paper studies the stability and bifurcations of the relative equilibrium of the double spherical pendulum, which has the circle as its symmetry group. The example as well as others with nonabelian symmetry groups, such as the rigid body, illustrate some useful general theory about Lagrangian reduction. In particular, we establish a satisfactory global theory of Lagrangian reduction that is consistent with the classical local Routh theory for systems with an abelian symmetry group.
| Item Type: | Article | ||||||
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| Additional Information: | © 1993 Birkhäuser Verlag, Basel. Received June, 1991, revised May, 1992; this printing, May 8, 1994. Dedicated to Professor Klaus Kirchgässner on the occasion of his 60th birthday. Research partially supported by a Humboldt award at the Universität Hamburg and by DOE Contract DE-FGO3-88ER25064. | ||||||
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| Record Number: | CaltechAUTHORS:20100908-095935372 | ||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20100908-095935372 | ||||||
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 19827 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Ruth Sustaita | ||||||
| Deposited On: | 09 Sep 2010 15:28 | ||||||
| Last Modified: | 26 Dec 2012 12:24 |
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