Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Danylo Pikunov"'
Publikováno v:
Nonlinear Dynamics. 102:1869-1880
Controlling dynamics of nonlinear systems is one of the most important issues in science and engineering. Thus, there is continuous need to study and develop numerical algorithms of control methods. Among the most frequently applied invariants charac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e1a17d95ff712a23a3ae556a3ae0eee
https://doi.org/10.1007/s11071-020-05994-9
https://doi.org/10.1007/s11071-020-05994-9
Autor:
Danylo Pikunov, Andrzej Stefanski
Publikováno v:
Journal of Sound and Vibration. 440:23-33
This paper focuses on analysis of a friction-induced mechanical oscillator with cubic nonlinearity and an applied dynamical model of dry friction. The studied model is based on the classical LuGre approach to friction force modelling. Lyapunov expone
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b4d72f9728115b566a07e8903979d94
https://doi.org/10.1016/j.jsv.2018.10.003
https://doi.org/10.1016/j.jsv.2018.10.003
Autor:
Danylo Pikunov, Andrzej Stefański
Publikováno v:
Tribology International. 173:107623
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2b6bf1fcf5542b4d64547170c69f1039
https://doi.org/10.1016/j.triboint.2022.107623
https://doi.org/10.1016/j.triboint.2022.107623
Publikováno v:
Nonlinear Dynamics. 94:3053-3065
Classical method of Lyapunov exponents spectrum estimation for a n-th-order continuous-time, smooth dynamical system involves Gram–Schmidt orthonormalization and calculations of perturbations lengths logarithms. In this paper, we have shown that us
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f311829bbbbec3055c619d70c2a3d39
https://doi.org/10.1007/s11071-018-4544-z
https://doi.org/10.1007/s11071-018-4544-z
Publikováno v:
International Journal of Mechanical Sciences. 173:105454
We study the problem of complete synchronization of a pendulums' array attached to a common, externally forced structure. The presented analysis is focused on chaotic synchronization of the swinging, parametric pendulums. We propose a simplified crit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::839a34f9b9120ab29bd32a4f09ab0247
https://doi.org/10.1016/j.ijmecsci.2020.105454
https://doi.org/10.1016/j.ijmecsci.2020.105454
Publikováno v:
AIP Conference Proceedings.
This paper presents a practical application of a new, simplified method of Lyapunov exponents estimation. The method has been applied to optimization of a real, nonlinear inverted pendulum system. Authors presented how the algorithm of the Largest Ly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b8782c121d8cd7acfe1ee7470ddafcbe
https://doi.org/10.1063/1.5019101
https://doi.org/10.1063/1.5019101