Dynamical Symmetries and the Ermakov Invariant
نویسنده
چکیده
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. PACS number(s): 02.30.Hg, 02.90.+p, 03.20.+i
منابع مشابه
Lie Point Symmetries for Reduced Ermakov Systems
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We show that the basic results on the paper referred in the title [J. Phys. A: Math. Gen. 35 (2002) 5333-5345], concerning the derivation of the Ermakov invariant from Noether symmetry methods, are not new. PACS numbers: 02.30.Hg, 02.90.+p, 03.20.+i The purpose of this comment is to point out that the main results presented in a recently published paper [1], are not new. At the end of the intro...
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