Affine generalizations of the nonholonomic problem of a convex body rolling without slipping on the plane

Autor:	Villegas, M. Costa, García-Naranjo, L. C.
Rok vydání:	2024
Předmět:	Mathematical Physics Mathematics - Dynamical Systems 37J60 70F25 70E18 70E40
Druh dokumentu:	Working Paper
Popis:	We introduce a class of examples which provide an affine generalization of the nonholonomic problem of a convex body rolling without slipping on the plane. We investigate dynamical aspects of the system such as existence of first integrals, smooth invariant measure and integrability, giving special attention to the cases in which the convex body is a dynamically balanced sphere or a body of revolution. Comment: 29 pages, 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.08072 Zobrazit plný text záznamu View this record from Arxiv