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On the Lie symmetries of Kepler-Ermakov systems

A. Karasu·H. Yildirim
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Abstract

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.

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A. Karasu, H. Yildirim. 2003-06-12. On the Lie symmetries of Kepler-Ermakov systems. https://arxiv.org/abs/math-ph/0306037

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