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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 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

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.

UDC: 531

Received: 06.11.2020


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2021, 76:5, 142–146

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© Steklov Math. Inst. of RAS, 2026