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Avtomatika i Telemekhanika, 2024, Issue 9, Pages 59–76
DOI: https://doi.org/10.31857/S0005231024090035 (Mi at16323) 		 
Nonlinear Systems

Stability of regular precessions of a body with a fixed point bounded by the ellipsoid of revolution in a flow of particles

A. S. Kuleshov, M. M. Gadzhiev

Lomonosov Moscow State University
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DOI: https://doi.org/10.31857/S0005231024090035
Abstract: Stability of regular precessions of a rigid body bounded by the ellipsoid of revolution in a free molecular flow of particles is studied. Conditions of stability of regular precessions of the body are obtained and the Poincare–Chetaev bifurcation diagrams are constructed.
Keywords: rigid body with a fixed point, free molecular flow of particles, regular precessions, stability of steady motions.
Funding agency Grant number
Russian Science Foundation 24-11-20009
Presented by the member of Editorial Board: A. G. Kushner

Received: 03.06.2024
Revised: 05.07.2024
Accepted: 11.08.2024
English version:
Automation and Remote Control, 2024, Volume 85, Issue 9, Pages 781–794
DOI: https://doi.org/10.1134/S0005117924700206
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Kuleshov, M. M. Gadzhiev, “Stability of regular precessions of a body with a fixed point bounded by the ellipsoid of revolution in a flow of particles”, Avtomat. i Telemekh., 2024, no. 9, 59–76; Autom. Remote Control, 85:9 (2024), 781–794
Citation in format AMSBIB
\Bibitem{KulGad24}
\by A.~S.~Kuleshov, M.~M.~Gadzhiev
\paper Stability of regular precessions of a body with a fixed point bounded by the ellipsoid of revolution in a flow of particles
\jour Avtomat. i Telemekh.
\yr 2024
\issue 9
\pages 59--76
\mathnet{http://mi.mathnet.ru/at16323}
\crossref{https://doi.org/10.31857/S0005231024090035}
\edn{https://elibrary.ru/ZQWMZL}
\transl
\jour Autom. Remote Control
\yr 2024
\vol 85
\issue 9
\pages 781--794
\crossref{https://doi.org/10.1134/S0005117924700206}
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