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A complete classification of dynamical symmetries in classical mechanics

Published online by Cambridge University Press:  17 April 2009

Geoff Prince
Affiliation:
Department of Mathematics, Royal Melbourne Institute of Technology, G.P.O. Box 2476V, Melbourne, Victoria 3001, Australia.
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Abstract

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This paper deals with the interaction between the invariance group of a second order differential equation and its variational formulation. In particular I construct equivalent Lagrangians from all such group actions, thereby successfully completing an earlier attempt of mine which dealt with some traditionally important classes of actions.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1985

References

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