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Steklov-Lyapunov type systems
dc.contributor.author | Bolsinov, A. V. |
dc.contributor.author | Fedorov, Yuri |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-05-07T15:11:21Z |
dc.date.available | 2007-05-07T15:11:21Z |
dc.date.created | 2003 |
dc.date.issued | 2003 |
dc.identifier.uri | http://hdl.handle.net/2117/900 |
dc.description.abstract | In this paper we describe integrable generalizations of the classical Steklov– Lyapunov systems, which are defined on a certain product so(m) × so(m), as well as the structure of rank r coadjoint orbits in so(m)×so(m). We show that the restriction of these systems onto some subvarieties of the orbits written in new matrix variables admits a new r × r matrix Lax representation in a generalized Gaudin form with a rational spectral parameter. In the case of rank 2 orbits a corresponding 2 × 2 Lax pair for the reduced systems enables us to perform a separation of variables. |
dc.format.extent | 31 |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Hamiltonian dynamical systems |
dc.subject.lcsh | Lagrangian functions |
dc.subject.lcsh | Dynamics |
dc.subject.lcsh | Hamiltonian systems |
dc.subject.other | Steklov-Lyapunov systems |
dc.title | Steklov-Lyapunov type systems |
dc.type | Article |
dc.subject.lemac | Hamilton, Sistemes de |
dc.subject.lemac | Lagrange, Funcions de |
dc.subject.lemac | Dinàmica de cossos rígids |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70E Dynamics of a rigid body and of multibody systems |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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