Fx. Mei, THE NOETHERS THEORY OF BIRKHOFFIAN SYSTEMS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 36(12), 1993, pp. 1456-1467
By using the generalized quasi-symmetry of the infinitesimal transform
ation of the transformation group G(r), the Noether's theory for Birkh
offian systems (including Noether's theorem and its inverse) has been
established, An example is given.