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Regular and Chaotic Dynamics, 1997, Volume 2, Issue 3-4, Pages 62–71
DOI: https://doi.org/10.1070/RD1997v002n03ABEH000048 (Mi rcd1010) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the 60th birthday of V.I.Arnold

Free manifolds of dynamic billiards

V. V. Beletskii, E. I. Kugushev, E. L. Starostin

Institute of Applied Mathematics M.V. Keldysh RAS, 125047, Moscow, Miusskaya square, 4
Citations (1)
DOI: https://doi.org/10.1070/RD1997v002n03ABEH000048
Abstract: We consider free manifolds of dynamic billiards that allow constructing mathematical billiards equivalent to original dynamic billiards. It is shown that free manifolds of dynamic billiards in constant and Newtonian force field are surfaces of rotation in 3D Euclidean space. It is demonstrated that parabolic billiards in Newtonian attracting force field are equivalent to plane mathematical billiards.
Received: 17.11.1997
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Beletskii, E. I. Kugushev, E. L. Starostin, “Free manifolds of dynamic billiards”, Regul. Chaotic Dyn., 2:3-4 (1997), 62–71
Citation in format AMSBIB
\Bibitem{BelKugSta97}
\by V.~V.~Beletskii, E.~I.~Kugushev, E.~L.~Starostin
\paper Free manifolds of dynamic billiards
\jour Regul. Chaotic Dyn.
\yr 1997
\vol 2
\issue 3-4
\pages 62--71
\mathnet{http://mi.mathnet.ru/rcd1010}
\crossref{https://doi.org/10.1070/RD1997v002n03ABEH000048}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1702339}
\zmath{https://zbmath.org/?q=an:1004.37504}
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    • This publication is cited in the following 1 articles:
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