On chaotic motions of systems with dry friction

The principles of formation of closed and quasiperiodic orbitally stable trajectories in systems with dry friction are formulated. A frictional oscillator with periodic forcing is considered. It is established that random and stable oscillations exist. It is discovered that orbital instability and irregular oscillations are associated with the instability domain near a singular point Translated from Prikladnaya Mekhanika, Vol. 44, No. 9, pp. 123–132, September 2008.