On the Ermakov systems and nonlocal symmetries.

Authors: F.I. Arunaye
Subjects: Dynamical Systems
link: http://arxiv.org/abs/0903.2412
Abstract

Symmetry analysis of Ermakov systems has attracted enormous treatments in
recent times. In this paper we consider three classes of the Ermakov systems
and obtain their nonlocal symmetries using a simple algebraic reduction
process. We observed that these nonlocal symmetries are new to the literature.