Stick-slip MSF
Description
This dataset comprises results obtained using two approaches for estimating the Transversal Lyapunov Exponent (TLE) in discontinuous dynamical systems: the two-probe method and a proposed approach based on estimating the Jacobian matrix along the oscillator trajectory, slightly modified for application to stick-slip oscillators. The data were generated for parameter sets corresponding to isolated stick-slip oscillators exhibiting either periodic or chaotic behavior. In all simulations, the oscillators were assumed to be arranged in spring-coupled networks. ===Folder structure=== =stick_slip_chaotic_data= This folder contains: Results obtained using the two-oscillator probe method. TLE results obtained using the proposed method. A Python script for generating bifurcation plots from both the TLE and two-oscillator probe results. The data correspond to a parameter set for which the isolated stick-slip oscillator exhibits chaotic dynamics. Coupling coefficient range: σ ∈ [0.0, 6.0] =stick_slip_periodic_data= This folder contains: Results obtained using the two-oscillator probe method. TLE results obtained using the proposed method. A Python script for generating bifurcation plots from both the TLE and two-oscillator probe results. The data correspond to a parameter set for which the isolated stick-slip oscillator exhibits periodic dynamics. Coupling coefficient range: σ ∈ [0.0, 6.0] The results obtained using both the two-oscillator probe method and the TLE-based approach are provided in compressed .zip archives and must be extracted before generating the plots. =TLE= This folder contains Python scripts compatible with both Windows and Linux that allow TLE calculations for user-defined parameter sets. The isolated oscillator parameters and initial conditions can be specified in: stick_slip_combo_TLE_close_to_stick_log_to_file.py The coupling-strength range can be configured in: stick-slip_impact_osc_TLE_combo_parralel_mgr.py To start the calculations, run: stick-slip_impact_osc_TLE_combo_parralel_mgr.py =two-probe= This folder contains Python scripts compatible with both Windows and Linux that perform the two-oscillator probe analysis for user-defined isolated oscillator parameters. The oscillator parameters and initial conditions can be specified in: stick_slip_2_osc_probe_silent.py The coupling-strength range can be configured in: stick_slip_2probe_parallel_mgr.py To start the calculations, run: stick_slip_2probe_parallel_mgr.py The two-oscillator probe method returns the last 200 local maxima of the displacement difference between the oscillators when the oscillators do not synchronize. If synchronization is achieved, no output is produced. =System equations and parameter values= The governing equations of the stick-slip oscillator and a description of all model parameters are provided in the accompanying PDF document.
Files
Steps to reproduce
Python scripts are shared with the data. Use python 3.x, numpy 2.3.5 scipy 1.16.3 and matplotlib 3.10.7.
Institutions
- Lodz University of TechnologyŁódź Voivodeship, Lodz