Citation:
V. V. Trofimov, A. T. Fomenko, “Dynamical systems on the orbits of linear representations of Lie groups and the complete integrability of certain hydrodynamical systems”, Funktsional. Anal. i Prilozhen., 17:1 (1983), 31–39; Funct. Anal. Appl., 17:1 (1983), 23–29
\Bibitem{TroFom83}
\by V.~V.~Trofimov, A.~T.~Fomenko
\paper Dynamical systems on the orbits of linear representations of Lie groups and the complete integrability of certain hydrodynamical systems
\jour Funktsional. Anal. i Prilozhen.
\yr 1983
\vol 17
\issue 1
\pages 31--39
\mathnet{http://mi.mathnet.ru/faa1510}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=695094}
\zmath{https://zbmath.org/?q=an:0521.58031}
\transl
\jour Funct. Anal. Appl.
\yr 1983
\vol 17
\issue 1
\pages 23--29
\crossref{https://doi.org/10.1007/BF01083176}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983RF75400004}
Linking options:
https://www.mathnet.ru/eng/faa1510
https://www.mathnet.ru/eng/faa/v17/i1/p31
This publication is cited in the following 12 articles:
Bolsinov A.V. Izosimov A.M. Tsonev D.M., “Finite-dimensional integrable systems: A collection of research problems”, J. Geom. Phys., 115 (2017), 2–15
M. V. Shamolin, “Integrable systems on the tangent bundle of a multi-dimensional sphere”, J. Math. Sci. (N. Y.), 234:4 (2018), 548–590
A. V. Bolsinov, “Argument shift method and sectional operators: applications to differential geometry”, J. Math. Sci., 225:4 (2017), 536–554
M. V. Shamolin, “Some classes of integrable problems in spatial dynamics of a rigid body in a nonconservative force field”, J. Math. Sci. (N. Y.), 210:3 (2015), 292–330
V. V. Trofimov, M. V. Shamolin, “Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems”, J. Math. Sci., 180:4 (2012), 365–530
M. M. Zhdanova, “Completely integrable Hamiltonian systems on semidirect sums of Lie algebras”, Sb. Math., 200:5 (2009), 629–659
A. S. Vorontsov, “Invariants of Lie algebras representable as semidirect sums with a commutative ideal”, Sb. Math., 200:8 (2009), 1149–1164
A. A. Korotkevich, “Integrable Hamiltonian systems on low-dimensional Lie algebras”, Sb. Math., 200:12 (2009), 1731–1766
D. V. Georgievskii, M. V. Shamolin, “Valerii Vladimirovich Trofimov”, Journal of Mathematical Sciences, 154:4 (2008), 449–461
I Mukhopadhyay, A R Chowdhury, “Sectional operators, new integrable systems and semidirect Lie algebras”, J. Phys. A: Math. Gen., 28:12 (1995), 3511
V. V. Trofimov, A. T. Fomenko, “Liouville integrability of Hamiltonian systems on Lie algebras”, Russian Math. Surveys, 39:2 (1984), 1–67
V. V. Trofimov, “Extensions of Lie algebras and Hamiltonian systems”, Math. USSR-Izv., 23:3 (1984), 561–578
Citation in format AMSBIB
Contact us: