关于Kepler-Ermakov系统的Lie对称性
On the Lie symmetries of Kepler-Ermakov systems
摘要：
本文研究了C. Athorne in J. Phys. A24（1991），L1385-L1389.我们确定了任意函数H（x，y）的形式，以便找到该类中具有sl（2，R）对称性和拉格朗日量的成员。我们证明了这些系统都是频率函数依赖于动力学变量的通常的Ermakov系统。
英文摘要：
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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