Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2018, Number 3, Pages 34–43 (Mi vmumm31)  
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

A new case of an integrable system with dissipation on the tangent bundle of a multidimensional sphere

M. V. Shamolin

Lomonosov Moscow State University, Institute of Mechanics
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Abstract: The equations of motion for a dynamically symmetric $n$-dimensional fixed rigid body-pendulum situated in a nonconservative force field are studied. The form of these equations is taken from the dynamics of real fixed rigid bodies placed in a homogeneous flow of an incident medium. The complete list of (in general) transcendental first integrals expressed in terms of a finite combination of elementary functions is found.
Key words: multi-dimensional rigid body-pendulum, dynamic equations, integrability, transcendental first integral.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00020-а
Received: 11.11.2015
English version:
Moscow University Mechanics Bulletin, 2018, Volume 73, Issue 3, Pages 51–59
DOI: https://doi.org/10.3103/S0027133018030019
Bibliographic databases:
Document Type: Article
UDC: 517.01+531.01
Language: Russian
Citation: M. V. Shamolin, “A new case of an integrable system with dissipation on the tangent bundle of a multidimensional sphere”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 3, 34–43; Moscow University Mechanics Bulletin, 73:3 (2018), 51–59
Citation in format AMSBIB
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