We consider nonholonomic systems with collisions and propose a concept of weak solutions to Lagrange-d'Alembert equations. Using this concept we describe the dynamics of collisions. Collisions of a rotating ball and a rough floor are considered.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am40-3-8, author = {Dmitry Treschev and Oleg Zubelevich}, title = {On weak solutions to the Lagrange-d'Alembert equation}, journal = {Applicationes Mathematicae}, volume = {40}, year = {2013}, pages = {383-392}, zbl = {06238624}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am40-3-8} }
Dmitry Treschev; Oleg Zubelevich. On weak solutions to the Lagrange-d'Alembert equation. Applicationes Mathematicae, Tome 40 (2013) pp. 383-392. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am40-3-8/