ON DYNAMICS OF SYSTEMS WITH FRICTION

In this paper, we analyze the stick-slip motion in systems of confined liquids. The model consists in a periodically reinforced chain of harmonic oscillators with strong buckling nonlinearity, embedded between two corrugated plates. The top plate is pulled at constant velocity by a linear spring. The time-dependent relaxation of the slip part between two successive stick events is studied on the range of high stage velocities. We see that the buckling nonlinearity may coexists with different patterns of dynamics, including chaos, and leads to the observed experimental behavior and to predictions that are amenable to experimental tests