542 citations
- Universidade do Estado do Rio de JaneiroBR13 papers
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- Centre National de la Recherche ScientifiqueFR6 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE6 papers
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Showing 2008 · math.DGShow all
3 papers · 2 filters
math.DG2008★ 14 cited
Reduction and reconstruction aspects of second-order dynamical systems with symmetry
M. Crampin, T. Mestdag
We examine the reduction process of a system of second-order ordinary differential equations which is invariant under a Lie group action. With the aid of connection theory, we expl…
math.DG2008★ 9 cited
Relative equilibria of Lagrangian systems with symmetry
M. Crampin, T. Mestdag
We discuss the characterization of relative equilibria of Lagrangian systems with symmetry.
math.DG2008★ 32 cited
Routh's procedure for non-Abelian symmetry groups
M. Crampin, T. Mestdag
We extend Routh's reduction procedure to an arbitrary Lagrangian system (that is, one whose Lagrangian is not necessarily the difference of kinetic and potential energies) with a s…