This paper addresses the problem of the inertial motion of a
roller racer, which reduces to investigating a dynamical system on a (two-dimensional) torus and to classifying singular points on it. It is shown that the motion of the
roller racer in absolute space is
asymptotic. A restriction on the system parameters in which this motion is bounded (compact) is presented.
Keywords:
roller racer, invariant measure, nonholonomic mechanics, scattering map
Citation:
Bizyaev I. A., The Inertial Motion of a Roller Racer, Regular and Chaotic Dynamics,
2017, Volume 22, Number 3,
pp. 239-247