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Mathematics and Mechanics

Russian Academy of Sciences
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in January 1936
(Translated from 1958)
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IssuesArchive of Issues2012-3pp.268-274

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V.D. Irtegov and T.N. Titorenko, "Invariant manifolds in the Clebsch-Tisserand-Brun problem," J. Appl. Math. Mech. 76 (3), 268-274 (2012)
Year 2012 Volume 76 Issue 3 Pages 268-274
Title Invariant manifolds in the Clebsch-Tisserand-Brun problem
Author(s) V.D. Irtegov (Irkutsk, Russia, irteg@icc.ru)
T.N. Titorenko (Irkutsk, Russia)
Abstract A series of new invariant manifolds of various dimensions is obtained in Clebsch-Tisserand-Brun problems using a certain modification of the Routh-Lyapunov procedure, and their stability, including their stability with respect to a part of the variables, is investigated. Cases of asymptotic stability of equilibrium positions on one-dimensional invariant manifolds are presented, and the consequences of this fact for the original system are indicated.
Received 09 February 2010
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