Research data for: "Bifurcations and synchronization of coupled translational-rotational stick-slip oscillators"

This dataset contains the numerical simulation data presented in the manuscript titled: "Bifurcations and synchronization of coupled translational-rotational stick-slip oscillators".The research investigates the complex bifurcation and synchronization phenomena in stick-slip oscillators. The study proposes a closed-loop model that uniquely combines a smooth, finite-area contact friction formulation with the dynamics of a non-ideal energy source (a DC motor). This framework captures the mutual influence between the distributed frictional forces on the oscillators and the limited power supplied by the motor. The model is developed for a single oscillator and extended to a chain of N-oscillators driven by a common belt.The dataset provides the raw data used to generate the figures in the paper, including:Bifurcation Diagrams: Data points for the Poincaré sections showing system response as a function of the friction ratio η (Figures 2, 4, 6, 9, 12, 14, 16).Time Series Data: Time histories of the translational (x) and rotational (φ) displacements for various system configurations and parameter values.Phase Portraits and Poincaré Maps: Data for plotting the phase trajectories and corresponding Poincaré points, illustrating periodic, multi-periodic, and chaotic dynamics (Figures 3, 5, 7, 10, 11, 13, 15, 17, 18).This data is useful for researchers interested in nonlinear dynamics, friction modeling, stick-slip phenomena, and the behavior of mechanical systems coupled with non-ideal actuators.