Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published January 1993 | public
Journal Article

Lagrangian Reduction and the Double Spherical Pendulum

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.

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-FG03-88ER25064.

Additional details

Created:
August 20, 2023
Modified:
October 20, 2023