We prove that for first-order differential systems the set of S-equivalent transformations of Lagrangians coincides with the set of symmetry transformations of their equations of the motion. Noetherian symmetries are never enough to cover the whole set of symmetries of dynamical equations, even if the equations are of first order.
|Number of pages||8|
|Journal||Il Nuovo Cimento B|
|State||Published - Jul 1985|
- PACS. 03.20 Classical mechanics of discrete systems: general mathematical aspects