Abstract
Let (M, L) be a Lagrangian system and v a smooth field on M. The field v gives rise to the one-parameter group g of diffeomorphisms gα : M → M defined by the differential equation
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© 2006 Springer
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Arnold, V.I., Kozlov, V.V., Neishtadt, A.I. (2006). Symmetry Groups and Order Reduction. In: Mathematical Aspects of Classical and Celestial Mechanics. Encyclopaedia of Mathematical Sciences, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48926-9_3
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DOI: https://doi.org/10.1007/978-3-540-48926-9_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28246-4
Online ISBN: 978-3-540-48926-9
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