RT Journal Article T1 Notes on a paper by Lutzky on the noncanonical symmetries of Hamiltonian systems: “Noncanonical symmetries and isospectral representations of Hamiltonian systems” A1 González Gascón, Francisco A1 Aguirre Dabán, Eduardo AB We obtain the first integrals Tr(Rk) by using a differential equation of the Lax type of simpler structure than the one obtained in a recent paper. Certain questions raised in this paper on the relation between noncanonical symmetries S and complete integrability are answered. Additional first integrals depending on the derivatives of S of order greater than one are also obtained. PB Elsevier SN 0375-9601 YR 1982 FD 1982 LK https://hdl.handle.net/20.500.14352/64797 UL https://hdl.handle.net/20.500.14352/64797 DS Docta Complutense RD 17 abr 2025