An Invariant Measure and the Probability of a Fall in the Problem of an Inhomogeneous Disk Rolling on a Plane

This paper addresses the problem of an inhomogeneous disk rolling on a horizontal plane. This problem is considered within the framework of a nonholonomic model in which there is no slipping and no spinning at the point of contact (the projection of the angular velocity of the disk onto the normal t...

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Veröffentlicht in:	Regular & chaotic dynamics 2018-11, Vol.23 (6), p.665-684
Hauptverfasser:	Bizyaev, Ivan A., Borisov, Alexey V., Mamaev, Ivan S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Angular velocity Contact angle Dynamical Systems and Ergodic Theory Equations of motion Manifolds (mathematics) Mathematics Mathematics and Statistics Trajectory measurement
Online-Zugang:	Volltext
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