On the Lie symmetries of Kepler-Ermakov systems

Details On the Lie symmetries of Kepler-Ermakov systems On the Lie symmetries of Kepler-Ermakov systems

2003-06-12

arxiv.org/abs/math-ph/0306037v1

J. Nonlinear Math. Phys., volume 9, no.4 (2002) 475-482

Physics

Mathematical Physics

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Scientific paper

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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