Dynamical symmetries and the Ermakov invariant

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1016/S0375-9601(00)00835-5

Ermakov systems possessing Noether point symmetry are identified among the
Ermakov systems that derive from a Lagrangian formalism and, the Ermakov
invariant is shown to result from an associated symmetry of dynamical
character. The Ermakov invariant and the associated Noether invariant, are
sufficient to reduce these systems to quadratures.

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