Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 6, Pages 40–48 (Mi vmumm4364)  
Mechanics

Bifurcation analysis of a system of three connected bodies in a homogeneous gravitational field

A. V. Karapetyan, M. P. Chaplygina

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The problem of motion of three connected rigid bodies in a homogeneous gravity force field (a generalization of the problem of motion of a gyroscope with gimbal suspension) is discussed. All steady motions of the system, their stability conditions and branching are found. The results are presented in the form of bifurcational diagrams.
Key words: steady motions, stability, bifurcationcal diagrams.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00140
Received: 19.06.2019
English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, Volume 75, Issue 6, Pages 160–169
DOI: https://doi.org/10.3103/S0027133020060035
Bibliographic databases:
Document Type: Article
UDC: 531.36
Language: Russian
Citation: A. V. Karapetyan, M. P. Chaplygina, “Bifurcation analysis of a system of three connected bodies in a homogeneous gravitational field”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 6, 40–48; Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 75:6 (2020), 160–169
Citation in format AMSBIB
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