Two-system of a Hamiltonian system

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dc.creatorKondratieva, M. F.
dc.creatorSadov, S. Yu.
dc.date2004-10-09
dc.date.accessioned2026-07-07T05:13:06Z
dc.date.available2026-07-07T05:13:06Z
dc.descriptionFor a Hamiltonian system in R^{2n}, its two-system is defined in the phase space R^{2n} x sp(2n,R). In a sense, it is a combination of the original system and its system in variations with feedback. We study the Hamiltonian forms of the two-system and its analogs. In particular, we show a relation between the Poisson-Lie bracket on the (dual space to) Lie algebra sp(2n,R) and the canonical bracket.
dc.description9 pp., part I of preprint Keldysh Inst. Appl. Math. (Moscow), 2004
dc.identifierhttps://arxiv.org/abs/math/0410237
dc.identifierhttp://arxiv.org/abs/math/0410237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72823
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subject37J05
dc.titleTwo-system of a Hamiltonian system
dc.typetext

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