A variational reduction for homogeneous Lagrangian systems is constructed so that trajectories reconstruct up to quadratures from critical points of the reduced principle, which satisfy scaling Lagrange-Poincaré equations.
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Variational reduction of homogenous Lagrangian systems
A variational reduction for homogeneous Lagrangian systems is constructed so that trajectories reconstruct up to quadratures from critical points of the reduced principle, which satisfy scaling Lagrange-Poincaré equations.