 | | 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
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 55, Issue 8 / 2020 | Next article >> |
| Karapetyan A.V., "Bifurcation Smale Diagrams for Dynamics of Three Connected Bodies System," Mech. Solids. 55 (8), 1172-1177 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
8 |
Pages |
1172-1177 |
| DOI |
10.3103/S0025654420080105 |
| Title |
Bifurcation Smale Diagrams for Dynamics of Three Connected Bodies System |
| Author(s) |
Karapetyan A.V. (Lomonosov Moscow State University, Moscow, 119991 Russia, avkarapetyan@yandex.ru) |
| Abstract |
The article considers the motion problem of three connected bodies in a homogeneous
gravitational field (the generalized motion problem of a gyroscope in a gimbal). All stationary motions
of the system, conditions of their stability and branching are found. Based on the analysis performed,
it is shown that the complete atlas of Smale bifurcation diagrams for this problem consists of 24 maps
that differ in the form of these diagrams. The paper presents one of the most complex Smale diagrams
and describes how all the others are obtained from it. |
| Keywords |
gimbal gyroscope, bifurcation diagrams, topology of regions of possible motion |
| Received |
25 February 2020 | Revised |
15 March 2020 | Accepted |
21 March 2020 |
| Link to Fulltext |
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