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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 514, Number 1, Pages 12–19
DOI: https://doi.org/10.31857/S2686954323600167 (Mi danma425) 		 
MATHEMATICS

Dynamics of systems with one-sided differential constraints

T. V. Sal'nikova, E. I. Kugushev, A. A. Demidov

Lomonosov Moscow State University, Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954323600167
Abstract: A dynamical system with constraints in the form of linear differential inequalities is considered. It is proved that in the general case, in the presence of such connections, the motion is shockless. The possibility of realizing such bonds by viscous friction forces is shown. An example of a nonholonomic system is given, for which, using numerical simulation, it is shown how, with an increase in the degree of anisotropy, the transition from a system with anisotropic viscous friction to a system with one-sided differential constraints occurs.
Keywords: nonholonomic systems, one-sided differential constraints, anisotropic viscous friction.
Presented: V. V. Kozlov
Received: 22.03.2023
Revised: 21.09.2023
Accepted: 13.10.2023
English version:
Doklady Mathematics, 2023, Volume 108, Issue 3, Pages 431–437
DOI: https://doi.org/10.1134/S1064562423701326
Bibliographic databases:
Document Type: Article
UDC: 531.01
Language: Russian
Citation: T. V. Sal'nikova, E. I. Kugushev, A. A. Demidov, “Dynamics of systems with one-sided differential constraints”, Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023), 12–19; Dokl. Math., 108:3 (2023), 431–437
Citation in format AMSBIB
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\by T.~V.~Sal'nikova, E.~I.~Kugushev, A.~A.~Demidov
\paper Dynamics of systems with one-sided differential constraints
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 514
\issue 1
\pages 12--19
\mathnet{http://mi.mathnet.ru/danma425}
\crossref{https://doi.org/10.31857/S2686954323600167}
\elib{https://elibrary.ru/item.asp?id=56716629}
\transl
\jour Dokl. Math.
\yr 2023
\vol 108
\issue 3
\pages 431--437
\crossref{https://doi.org/10.1134/S1064562423701326}
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