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 Tr. Semim. im. I. G. Petrovskogo, 2016, Issue 31, Pages 257–323 (Mi tsp98)

Integrable systems on the tangent bundle of a multi-dimensional sphere

M. V. Shamolin

Abstract: This paper contains a systematic exposition of some results on the equations of motion of a dynamically symmetric $n$-dimensional rigid body in a nonconservative field of forces. Similar bodies are considered in the dynamics of actual rigid bodies interacting with a resisting medium under the conditions of jet flow past the body with a nonconservative following force acting on the body in such a way that its characteristic point has a constant velocity, which means that the system has a nonintegrable servo-constraint.

 Funding Agency Grant Number Russian Foundation for Basic Research 15-01-00848-à

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English version:
Journal of Mathematical Sciences (New York), 2018, 234:4, 548–590

UDC: 517.9+531.01

Citation: M. V. Shamolin, “Integrable systems on the tangent bundle of a multi-dimensional sphere”, Tr. Semim. im. I. G. Petrovskogo, 31, 2016, 257–323; J. Math. Sci. (N. Y.), 234:4 (2018), 548–590

Citation in format AMSBIB
\Bibitem{Sha16} \by M.~V.~Shamolin \paper Integrable systems on the tangent bundle of a multi-dimensional sphere \serial Tr. Semim. im. I. G. Petrovskogo \yr 2016 \vol 31 \pages 257--323 \mathnet{http://mi.mathnet.ru/tsp98} \transl \jour J. Math. Sci. (N. Y.) \yr 2018 \vol 234 \issue 4 \pages 548--590 \crossref{https://doi.org/10.1007/s10958-018-4028-1} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85052898457}