Regular and Chaotic Dynamics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Regul. Chaotic Dyn.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/rcd1010
  • https://www.mathnet.ru/eng/rcd/v2/i3/p62
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024