Third Year Candidacy Requirement: “Rolling Billiard Systems”
Speaker: Bowei Zhao, Washington University in Saint Louis
Abstract: Consider n-dimensional ball with symmetric mass distribution rolling over a compact hypersurface in the Euclidean space without slipping (when the point of contact has zero velocity). When the ball rools on a 2-dimensional plate, and the radius of the ball is sufficiently small, we have a rolling billiard system. We are going to develop a dynamical theory for the motion of the ball, including invariance of the canonical volume from symplectic form, nonintegrability property of the no-slip distribution, and stability property of the trajectories.
Host: Renato Feres
(Access Zoom Presentation HERE)