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- W2482783139 abstract "We consider Noether symmetries within Hamiltonian setting as transformations that preserve Poincar?-Cartan form, i.e., as symmetries of characteristic line bundles of nondegenerate 1-forms. In the case when the Poincar?-Cartan form is contact, the explicit expression for the symmetries in the inverse Noether theorem is given. As examples, we consider natural mechanical systems, in particular the Kepler problem. Finally, we prove a variant of the theorem on complete (non-commutative) integrability in terms of Noether symmetries of time-dependent Hamiltonian systems." @default.
- W2482783139 created "2016-08-23" @default.
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- W2482783139 date "2016-01-01" @default.
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- W2482783139 title "Noether symmetries and integrability in time-dependent Hamiltonian mechanics" @default.
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- W2482783139 doi "https://doi.org/10.2298/tam160121009j" @default.
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