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Lagrangian submanifolds and the Euler-Lagrange equations in higher-order mechanics

✍ Scribed by M. Crampin


Publisher
Springer
Year
1990
Tongue
English
Weight
255 KB
Volume
19
Category
Article
ISSN
0377-9017

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πŸ“œ SIMILAR VOLUMES


Lagrangian submanifolds and an applicati
✍ A. D. Lewis πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 570 KB

In this Letter, a Lagrangian foliation of the zero energy level is constructed for a family of planar central force problems. The dynamics on the leaves are explicitly computed and these dynamics are given a simple interpretation in terms of the dynamics near the singularity of the potential. Lagran