Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 5, Pages 64–68 (Mi vmumm4430)  
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Bifurcations in dynamics of the Chaplygin ball

Sh. M. Magomedov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The stationary motions of an inhomogeneous dynamically symmetric ball on an absolutely rough plane are studied in the special case of the center of mass passing the highest point. The system is analyzed numerically, and the existence of stable and unstable precessions is found. The results are presented in the form of bifurcation diagrams.
Key words: Chaplygin ball, bifurcation diagrams.
Received: 06.11.2020
English version:
Moscow University Mechanics Bulletin, 2021, Volume 76, Issue 5, Pages 142–146
DOI: https://doi.org/10.3103/S0027133021050046
Bibliographic databases:
Document Type: Article
UDC: 531
Language: Russian
Citation: Sh. M. Magomedov, “Bifurcations in dynamics of the Chaplygin ball”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5, 64–68; Moscow University Mechanics Bulletin, 76:5 (2021), 142–146
Citation in format AMSBIB
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