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On a Generalization of Blaschke’s Rolling Theorem and the Smoothing of Surfaces
Blaschke’s Rolling Theorem generalized convexity
2015/8/20
A generalization of Blaschke’s Rolling Theorem for not necessarily convex sets is proved that exhibits an
intimate connection between a generalized notion of convexity, various concepts in mathematic...
Integration of Constraint Equations in Problems of a Disc and a Ball Rolling on a Horizontal Plane
Integration of Constraint Equations Disc Ball Rolling Horizontal Plane Dynamical Systems
2011/10/9
Abstract: The problem of a disc and a ball rolling on a horizontal plane without slipping is considered. Differential constrained equations are shown to be integrated when the trajectory of the point ...
Rolling Manifolds: Intrinsic Formulation and Controllability
Rolling Manifolds Intrinsic Formulation Controllability
2010/11/19
In this paper, we consider two cases of rolling of one smooth connected complete Riemannian manifold $(M,g)$ onto another one $(\hM,\hg)$ of equal dimension $n\geq 2$. The rolling problem $(NS)$ corre...
Ordered and disordered dynamics in monolayers of rolling particles
Ordereddisordered dynamics monolayers of rolling particles
2010/12/15
We consider the ordered and disordered dynamics for monolayers of rolling self-interacting par-
ticles with an o-set center of mass and a non-isotropic inertia tensor. The rolling constraint is cons...