|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Cayley-type: Conditions for billiards within k quadrics in ℝ d||Journal:||Journal of Physics A: Mathematical and General||Volume:||37||Issue:||4||First page:||1269||Last page:||1276||Issue Date:||30-Jan-2004||Rank:||M21||ISSN:||0305-4470||DOI:||10.1088/0305-4470/37/4/014||Abstract:||
The notions of reflection from outside, reflection from inside and signature of a billiard trajectory within a quadric are introduced. Cayley-type conditions for periodical trajectories for the billiard in the region bounded by k quadrics in ℝd and for the billiard ordered game within k ellipsoids in ℝd are derived.In a limit, the condition describing periodic trajectories of billiard systems on a quadric in ℝ d is obtained.
Show full item record
checked on Mar 27, 2023
checked on Mar 28, 2023
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.