Invariance and first integrals of canonical Hamiltonian equations

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dc.creatorDorodnitsyn, Vladimir
dc.creatorKozlov, Roman
dc.date2008-09-08
dc.date2009-05-15
dc.date.accessioned2026-07-07T13:14:46Z
dc.date.available2026-07-07T13:14:46Z
dc.descriptionIn this paper we consider the relation between symmetries and first integrals of canonical Hamiltonian equations. Based on a newly established identity (which is an analog of well known Noether's identity for Lagrangian approach), this approach provides a simple and clear way to construct first integrals with the help of symmetries of a Hamiltonian. The approach is illustrated by a number of examples, including equations of the three-dimensional Kepler motion.
dc.identifierhttps://arxiv.org/abs/0809.1361
dc.identifierhttp://arxiv.org/abs/0809.1361
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230279
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject70H05, 70H33
dc.titleInvariance and first integrals of canonical Hamiltonian equations
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