Lie point symmetries of the Lane-Emden systems

It is shown that a Lie point symmetry of the Lane-Emden system is a Noether symmetry if and only if its parameters belong to the critical hyperbola. (C) 2004 Elsevier Inc. All rights reserved.It is shown that a Lie point symmetry of the Lane-Emden system is a Noether symmetry if and only if its parameters belong to the critical hyperbola2941334344sem informaçãosem informaçãoWe thank Enzo Mitidieri for his suggestion to prove Theorem 2 as well as his firm encouragement and continuous suppor