Symmetries and conservation laws for the generalized n‐dimensional Ermakov system

Abstract

We revise recent results on the classification of the generalized three‐dimensional Hamiltonian Ermakov system. We show that a statement published recently is incorrect, while the solution for the classification problem was incomplete. We present the correct classification for the three‐dimensional system by using results which related the background space with the dynamics. Finally, we extend our results for the generalized ‐dimensional Hamiltonian Ermakov system.