Crâşmăreanu, Mircea Quadratic first integrals for natural Lagrangian systems. (English) Zbl 1181.70018 Sci. Ann. Univ. Agric. Sci. Vet. Med., Fac. Hortic. 46, No. 2, 125-128 (2003). Summary: Quadratic in moments first integrals for Lagrangian systems of natural type are discussed and the two-dimensional case is detailed. MSC: 70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics 70H03 Lagrange’s equations Keywords:natural Lagrangian system; first integral PDFBibTeX XMLCite \textit{M. Crâşmăreanu}, Sci. Ann. Univ. Agric. Sci. Vet. Med., Fac. Hortic. 46, No. 2, 125--128 (2003; Zbl 1181.70018)