The fastest, simplified method of Lyapunov exponents spectrum estimation for continuous-time dynamical systems M Balcerzak, D Pikunov, A Dabrowski Nonlinear Dynamics 94, 3053-3065, 2018 | 51 | 2018 |
Determining Lyapunov exponents of non-smooth systems: Perturbation vectors approach M Balcerzak, A Dabrowski, B Blazejczyk–Okolewska, A Stefanski Mechanical Systems and Signal Processing 141, 106734, 2020 | 42 | 2020 |
Spectrum of Lyapunov exponents in non-smooth systems evaluated using orthogonal perturbation vectors M Balcerzak, A Dąbrowski, A Stefański, J Wojewoda MATEC Web of Conferences 148, 10003, 2018 | 19 | 2018 |
Optimization of the control system parameters with use of the new simple method of the largest Lyapunov exponent estimation M Balcerzak, A Dabrowski, T Kapitaniak, A Jach Mechanics and Mechanical Engineering 17 (3), 225-239, 2013 | 13 | 2013 |
Instabilities in quasiperiodic motion lead to intermittent large-intensity events in Zeeman laser SL Kingston, A Mishra, M Balcerzak, T Kapitaniak, SK Dana Physical Review E 104 (3), 034215, 2021 | 12 | 2021 |
Chaotic synchronization in a pair of pendulums attached to driven structure A Karmazyn, M Balcerzak, P Perlikowski, A Stefanski International Journal of Non-Linear Mechanics 105, 261-267, 2018 | 12 | 2018 |
A novel, Fourier series based method of control optimization and its application to a discontinuous capsule drive model S Zarychta, T Sagan, M Balcerzak, A Dabrowski, A Stefanski, T Kapitaniak International Journal of Mechanical Sciences 219, 107104, 2022 | 10 | 2022 |
Transition to hyperchaos and rare large-intensity pulses in Zeeman laser S Leo Kingston, M Balcerzak, SK Dana, T Kapitaniak Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (2), 2023 | 9 | 2023 |
Synchronized chaotic swinging of parametrically driven pendulums A Stefanski, D Pikunov, M Balcerzak, A Dabrowski International Journal of Mechanical Sciences 173, 105454, 2020 | 8 | 2020 |
The fastest, simplified method of estimation of the Largest Lyapunov exponent for continuous dynamical systems with time delay M Balcerzak, D Pikunov Mechanics and Mechanical Engineering 21 (4), 985-994, 2017 | 8 | 2017 |
Tuning the control system of a nonlinear inverted pendulum by means of the new method of Lyapunov exponents estimation M Balcerzak, A Dąbrowski, D Pikunov AIP Conference Proceedings 1922 (1), 100016, 2018 | 7 | 2018 |
New method of multidimensional control simplification and control system optimization K Pijanowski, A Dabrowski, M Balcerzak Mechanics and Mechanical Engineering 19 (2), 127-139, 2015 | 7 | 2015 |
Optimization of the closed-loop controller of a discontinuous capsule drive using a neural network S Zarychta, M Balcerzak, V Denysenko, A Stefański, A Dąbrowski, S Lenci Meccanica 58 (2-3), 537-553, 2023 | 6 | 2023 |
Properties of generalized synchronization in smooth and non-smooth identical oscillators M Balcerzak, A Chudzik, A Stefanski The European Physical Journal Special Topics 229, 2151-2165, 2020 | 6 | 2020 |
Improving efficiency of the largest Lyapunov exponent’s estimation by its determination from the vector field properties A Dabrowski, M Balcerzak, D Pikunov, A Stefanski Nonlinear Dynamics 102, 1869-1880, 2020 | 5 | 2020 |
Dynamics loading by swinging bells—Experimental and numerical investigation of the novel yoke–bell–clapper system with variable geometry T Burzyński, P Perlikowski, M Balcerzak, P Brzeski Mechanical Systems and Signal Processing 180, 109429, 2022 | 4 | 2022 |
Alternative Methods of the Largest Lyapunov Exponent Estimation with Applications to the Stability Analyses Based on the Dynamical Maps—Introduction to the Method A Dabrowski, T Sagan, V Denysenko, M Balcerzak, S Zarychta, ... Materials 14 (23), 7197, 2021 | 3 | 2021 |
Fast and simple Lyapunov Exponents estimation in discontinuous systems M Balcerzak, T Sagan, A Dabrowski, A Stefanski The European Physical Journal Special Topics 229, 2167-2181, 2020 | 3 | 2020 |
Application of the lyapunov exponent based on current vibration control parameter (CVC) in control of an industrial robot M Szaniewski, A Dąbrowski, M Balcerzak, P Zawiasa Mechanics and Mechanical Engineering 19 (1), 51-61, 2015 | 3 | 2015 |
AutoLUT–Autonomiczny robot mobilny oparty na systemie ROS A Gmerek, D Pakulski, M Balcerzak, T Soghbatyan, P Dawid Krajowa Konferencja Robotyki, 2014 | 3 | 2014 |