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Regular and Chaotic Dynamics, 2003, Volume 8, Issue 3, Pages 319–329
DOI: https://doi.org/10.1070/RD2003v008n03ABEH000248 (Mi rcd786) 		 
High dimensional bowling. $n$-dimensional ball rolling on $(n–1)$-dimensional surface

M. V. Deryabina, P. G. Hjorthb

a Faculty of Mathematics and Mechanics, Moscow State University
b Department of Mathematics, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
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DOI: https://doi.org/10.1070/RD2003v008n03ABEH000248
Abstract: We consider the non-holonomic system of a $n$-dimensional ball rolling on a $(n–1)$-dimensional surface. We discuss the structure of the equations of motion, the existence of an invariant measure and some generalizations of the problem.
Received: 30.09.2003
Bibliographic databases:
Document Type: Article
MSC: 70E99, 70H07
Language: English
Citation: M. V. Deryabin, P. G. Hjorth, “High dimensional bowling. $n$-dimensional ball rolling on $(n–1)$-dimensional surface”, Regul. Chaotic Dyn., 8:3 (2003), 319–329
Citation in format AMSBIB
\Bibitem{DerHjo03}
\by M. V. Deryabin, P.~G.~Hjorth
\paper High dimensional bowling. $n$-dimensional ball rolling on $(n–1)$-dimensional surface
\jour Regul. Chaotic Dyn.
\yr 2003
\vol 8
\issue 3
\pages 319--329
\mathnet{http://mi.mathnet.ru/rcd786}
\crossref{https://doi.org/10.1070/RD2003v008n03ABEH000248}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2020848}
\zmath{https://zbmath.org/?q=an:1051.70003}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2003RCD.....8..319D}
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