 | | 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) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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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 |
| Link to Fulltext |
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