Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

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IssuesArchive of Issues2014-1pp.18-29

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V.Yu. Ol'shanskii, "Linear invariant relations of the Poincaré–Zhukovskii equations," J. Appl. Math. Mech. 78 (1), 18-29 (2014)
Year 2014 Volume 78 Issue 1 Pages 18-29
Title Linear invariant relations of the Poincaré–Zhukovskii equations
Author(s) V.Yu. Ol'shanskii (Saratov, Russia, olshanskiy_vlad@mail.ru)
Abstract All the cases of the existence of a linear invariant relation of the Poincaré-Zhukovskii equations with symmetric Hamiltonian matrices are found. A similar geometrical meaning of the existence conditions is indicated for well-known special cases. Precessional motions with a linear invariant relation are identified.
Received 04 June 2013
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