4 citations · 12 across the 10 of their papers we have counts for
10 papers
Nonholonomic billiards and bounded motion in cylinders
Christopher Cox, Renato Feres, Zijie Hu
A widely used mathematical model for the bouncing motion of an ideally elastic ball -- referred to in previous work by the first two authors and collaborators as a {\em no-slip bil…
Chaotic lensed billiards
Timothy Chumley, Maeve Covey, Christopher Cox +1
Lensed billiards are an extension of the notion of billiard dynamical systems obtained by adding a potential function of the form , where is a real valued con…
Dynamics of the no-slip Galton board
Jan Ahmed, Timothy Chumley, Scott Cook +5
The ideal Galton board and Lorentz gas billiard models have been studied numerically and analytically primarily in settings where friction and rotational velocity are neglected. We…
No-slip Billiards with Particles of Variable Mass Distribution
J. Ahmed, C. Cox, B. Wang
Astute variations in the geometry of mathematical billiard tables have been and continue to be a source of understanding their wide range of dynamical behaviors, from regular to ch…
Rolling systems and their billiard limits
C. Cox, R. Feres, B. Zhao
Billiard systems, broadly speaking, may be regarded as models of mechanical systems in which rigid parts interact through elastic impulsive (collision) forces. When it is desired o…
Rolling and no-slip bouncing in cylinders
Timothy Chumley, Scott Cook, Christopher Cox +1
The purpose of this paper is to compare a classical non-holonomic system---a sphere rolling against the inner surface of a vertical cylinder under gravity---and a class of discrete…