Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256495 | Physica D: Nonlinear Phenomena | 2014 | 7 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Y. Baryshnikov, V. Blumen, K. Kim, V. Zharnitsky,