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On the Noether symmetry and Lie symmetry of mechanical systems

โœ Scribed by Mei Fengxiang; Zheng Gaihua


Publisher
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Year
2002
Tongue
English
Weight
267 KB
Volume
18
Category
Article
ISSN
0567-7718

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Symmetry reduction of discrete Lagrangia
โœ Jerrold E. Marsden; Sergey Pekarsky; Steve Shkoller ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

For a discrete mechanical system on a Lie group G determined by a (reduced) Lagrangian , we define a Poisson structure via the pull-back of the Lie-Poisson structure on the dual of the Lie algebra g \* by the corresponding Legendre transform. The main result shown in this paper is that this structur