O. Zubelevich, “A Particle on a Moving Plane with Coulomb Friction”, Rus. J. Nonlin. Dyn., 2019, Volume 15, Number 3,Pages <nobr>343

Mathematical problems of nonlinearity

A Particle on a Moving Plane with Coulomb Friction

O. Zubelevich^ab

^a Steklov Mathematical Institute of the Russian Academy of Sciences, 2-nd Krestovskii per. 12-179, Moscow, 129110 Russia
^b Department of Theoretical Mechanics and Mechatronics, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskiye Gory 1, GSP-1, Moscow, 119991 Russia

Abstract: This paper is concerned with the motion of a particle on a horizontal vibrating plane with Coulomb friction. It is proved that, when some constant force is added, the system has a periodic solution.

Keywords: classical mechanics, systems with friction, Filippov’s systems, periodic solutions, differential inclusions.

MSC: 34A60

Received: 30.06.2019
Accepted: 10.08.2019

DOI: 10.20537/nd190311