Estimation of chaotic and regular (Stick-Slip and slip-slip) oscillations exhibited by coupled oscillators with dry friction

In this paper, we present a novel approach to quantify regular or chaotic dynamics of either smooth or non-smooth dynamical systems. The introduced method is applied to trace regular and chaotic stick-slip and slip-slip dynamics. Stick-slip and slip-slip periodic and chaotic trajectories are analyzed (for the investigated parameters, a stick-slip dynamics dominates). Advantages of the proposed numerical technique are given.