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• W2332816032 startingPage "49" @default.
• W2332816032 abstract "In this paper we present an alternative procedure for reducing, inthe Lagrangian formalism, the equations of motion of first orderconstrained mechanical systems with symmetry. The procedureinvolves two principal connections: one of them is used to definethe reduced degrees of freedom and the other one to decomposevariations into horizontal and vertical components. On the onehand, we show that this new procedure is particularly useful whenthe configuration space is a trivial principal bundle over thesymmetry group, which is the case of many interesting examples. Onthe other hand, based on that procedure, we extend in a naturalway the variational reduction methods to the Lagrangian systemswith higher order constraints. Examples are discussed in order toillustrate the involved theorethical constructions." @default.
• W2332816032 created "2016-06-24" @default.
• W2332816032 creator A5051681223 @default.
• W2332816032 creator A5084155619 @default.
• W2332816032 date "2012-01-01" @default.
• W2332816032 modified "2023-10-16" @default.
• W2332816032 title "Variational reduction of Lagrangian systems with general constraints" @default.
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• W2332816032 doi "https://doi.org/10.3934/jgm.2012.4.49" @default.
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