No-slip billiards in dimension two

  • C. Cox
  • , R. Feres

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

6 Scopus citations

Abstract

We investigate the dynamics of no-slip billiards, a model in which small rotating disks may exchange linear and angular momentum at collisions with the boundary. We give new results on periodicity and boundedness of orbits which suggest that a class of billiards (including all polygons) is not ergodic. Computer generated phase portraits demonstrate non-ergodic features, suggesting no-slip billiards cannot readily be constructed using the common techniques for generating chaos in standard billiards.

Original languageEnglish
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages91-110
Number of pages20
DOIs
StatePublished - 2017

Publication series

NameContemporary Mathematics
Volume698
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

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