Three classes of Ermakov systems and nonlocal symmetries

Abstract

Ermakov systems have attracted enormous treatments in recent times particularly in symmetry analysis. In this paper we consider three classes of the Ermakov systems by using a simple algebraic reduction process with imposed conditions on the magnitude of the angular momentum of each system class to obtain new generalized symmetries. We note that this imposed condition transforms the Kepler-Ermakov systems to the generalized Ermakov systems.

8 pages, submitted to Nigerian J. Math. Phys

References in corpus (4)

• On the Lie symmetries of a class of generalized Ermakov systems
• On the linearization of the generalized Ermakov systems
• On the Reduction Process of Nucci-Reduce Algorithm for Computing Nonlocal Symmetries of Dynamical Systems:A case study of the Kepler and Kepler-related problems
• On the Ermakov systems and nonlocal symmetries