43 citations · 352 across the 38 of their papers we have counts for
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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…
Relative equilibria of Lagrangian systems with symmetry
M. Crampin, T. Mestdag
We discuss the characterization of relative equilibria of Lagrangian systems with symmetry.
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…
Invariant Lagrangians, mechanical connections and the Lagrange-Poincare equations
T. Mestdag, M. Crampin
We deal with Lagrangian systems that are invariant under the action of a symmetry group. The mechanical connection is a principal connection that is associated to Lagrangians which…
The inverse problem for invariant Lagrangians on a Lie group
M. Crampin, T. Mestdag
We discuss the problem of the existence of a regular invariant Lagrangian for a given system of invariant second-order differential equations on a Lie group , using approaches b…