On uniform linear invariant relations of the equations of dynamics
In a tangential stratification of the configuration manifold of a mechanical system, the submanifolds of its trajectories specified in local coordinates by equations that are linear and homogeneous, with respect to velocities, are discussed. The local conditions for the existence of some of such submanifolds in a structural form are established. The results obtained are illustrated by examples taken from solid dynamics.
scientific article; zbMATH DE number 4003572