Bifurcations in dynamics of the Chaplygin ball
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2021), pp. 64-68
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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.
@article{VMUMM_2021_5_a9,
author = {Sh. M. Magomedov},
title = {Bifurcations in dynamics of the {Chaplygin} ball},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {64--68},
publisher = {mathdoc},
number = {5},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2021_5_a9/}
}
Sh. M. Magomedov. Bifurcations in dynamics of the Chaplygin ball. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2021), pp. 64-68. http://geodesic.mathdoc.fr/item/VMUMM_2021_5_a9/