Peter LEACH
School of Mathematical Sciences,
Howard College,
University of KwaZulu-Natal,
Durban 4041,
SOUTH AFRICA
E-mail: leachp@ukzn.ac.za

Ermakov's superintegrable toy and nonlocal symmetries

Abstract:
A superintegrable toy system is constructed from an elementary form of Ermakov's equation and its group theoretic properties described.  The difficulty to obtain a representation of its complete symmetry group is resolved by showing that the toy belongs to the same class of problems as the Kepler Problem.