 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| A. P. Markeev, S. V. Medvedev, and T. N. Chekhovskaya, "To the problem of stability of pendulum-like vibrations of a rigid body in Kovalevskaya's case," Mech. Solids. 38 (1), 1-6 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
1 |
Pages |
1-6 |
| Title |
To the problem of stability of pendulum-like vibrations of a rigid body in Kovalevskaya's case |
| Author(s) |
A. P. Markeev (Moscow)
S. V. Medvedev (Moscow)
T. N. Chekhovskaya (Moscow) |
| Abstract |
The orbital stability of plane vibrations and rotations
of a rigid body with a single fixed point in the gravity field
is investigated in Kovalevskaya's case. |
| References |
| 1. | A. P. Markeev, Theoretical Mechanics [in Russian],
CheRo, Moscow, 1999. |
| 2. | G. K. Suslov, Theoretical Mechanics [in Russian],
Gostekhizdat, Moscow, Leningrad, 1946. |
| 3. | V. D. Irtegov, "On the stability of pendulum-like vibrations
of S. V. Kovalevskaya's gyroscope," in Transactions of Kazan
Aviation Institute. Mathematics and Mechanics [in Russian],
No. 97, pp. 38-40, 1968. |
| 4. | A. P. Markeev, "On the stability of planar
motions of a rigid body in Kovalevskaya's case,"
PMM [Applied Mathematics and Mechanics], Vol. 65, No. 1,
pp. 51-58, 2001. |
| 5. | A. M. Zhuravskii, Handbook on Elliptic Functions
[in Russian], Izd-vo AN SSSR, Moscow, Leningrad, 1941. |
| 6. | I. G. Malkin, Theory of Stability of Motion [in Russian],
Nauka, Moscow, 1966. |
| 7. | A. P. Markeev, "Stability analysis of periodic motions
of an autonomous Hamiltonian system in a critical case,"
PMM [Applied Mathematics and Mechanics], Vol. 64, No. 5,
pp. 833-847, 2000. |
|
| Received |
03 October 2000 |
| << Previous article | Volume 38, Issue 1 / 2003 | Next article >> |
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