Billiard dynamics of bouncing dumbbell

Y. Baryshnikov, V. Blumen, K. Kim, V. Zharnitsky

Research output: Contribution to journalArticlepeer-review


A system of two masses connected with a weightless rod (called dumbbell in this paper) interacting with a flat boundary is considered. The sharp bound on the number of collisions with the boundary is found using billiard techniques. In case the ratio of masses is large and the dumbbell rotates fast, an adiabatic invariant is obtained.

Original languageEnglish (US)
Pages (from-to)21-27
Number of pages7
JournalPhysica D: Nonlinear Phenomena
StatePublished - Feb 15 2014


  • Adiabatic invariant
  • Billiard dynamics
  • Bouncing dumbbell

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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