A one-parameter group on evolution space which permutes the classical trajectories of a Lagrangian system is called a dynamical symmetry. Following a review of the modern approach to the “symmetry-conservation law” duality an attempt is made to classify such invariance groups according to the induced transformation of the Cartan form. This attempt is fairly successful inasmuch as the important cases of Lie, Noether and Cartan symmetries can be distinguished. The theory is illustrated with a presentation of results for the classical Kepler problem.
The structure of the reclamation complex of the Republic of Belarus is given. The main problems of drainage of heavy soils are considered. A modern approach to the design of reclamation systems using digital models is proposed. Constructive solutions for the effective drainage of heavy soils are proposed
Toward a classification of dynamical symmetries in classical mechanics
