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 $n$% -dimensional Hamiltonian Ermakov system.

arXiv comment10 pages, published in Mathematical Methods in the Applied Sciences

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Cited by in corpus (1)

• Noether symmetries and conservation laws of a reduced gauged bilayer graphene model