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On the Lie symmetries of Kepler-Ermakov systems

Karasu, Atalay
Yildirim, H
In this work, we study the Lie-point symmetries of Kepler-Ermakov systems presented by C Athorne in J. Phys. A24 (1991), L1385-L1389. We determine the forms of arbitrary function H (x,y) in order to find the members of this class possessing the sl(2,R) symmetry and a Lagrangian. We show that these systems are usual Ermakov systems with the frequency function depending on the dynamical variables.