Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Artur Dabrowski"'
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
Publikováno v:
The European Physical Journal Special Topics. 229:2167-2181
Typically, to estimate the whole spectrum ofnLyapunov Exponents (LEs), it is necessary to integratenperturbations and to orthogonalize them. Recently it has been shown that complexity of calculations can be reduced for smooth systems: integration of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ee67882002778e43777da8db2fc4efe
https://doi.org/10.1140/epjst/e2020-900275-x
https://doi.org/10.1140/epjst/e2020-900275-x
Publikováno v:
The European Physical Journal Special Topics. 229:2239-2247
Chimera states are peculiar spatiotemporal patterns of coupled oscillators composed of coherent and incoherent groups. In this paper, we study a network of non-identical coupled Van der Pol’s oscillators and investigate the robustness of the chimer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d3b3477903dba032375843c979733c1
https://doi.org/10.1140/epjst/e2020-000002-0
https://doi.org/10.1140/epjst/e2020-000002-0
Autor:
Artur Dabrowski, Tomasz Sagan, Sandra Zarychta, Volodymyr Denysenko, Andrzej Stefanski, Marek Balcerzak
Publikováno v:
Materials
Materials, Vol 14, Iss 7197, p 7197 (2021)
Materials; Volume 14; Issue 23; Pages: 7197
Materials, Vol 14, Iss 7197, p 7197 (2021)
Materials; Volume 14; Issue 23; Pages: 7197
Controlling stability of dynamical systems is one of the most important challenges in science and engineering. Hence, there appears to be continuous need to study and develop numerical algorithms of control methods. One of the most frequently applied
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c84945e254aaf3bce33f05674b2b706f
http://europepmc.org/articles/PMC8658714
http://europepmc.org/articles/PMC8658714
Autor:
Sandra Zarychta, Tomasz Sagan, Marek Balcerzak, Artur Dabrowski, Andrzej Stefanski, Tomasz Kapitaniak
This paper presents a novel, Fourier series based numerical method of open-loop control optimization. Due to its flexible assumptions, it can be applied in a large variety of systems, including discontinuous ones or even so-called black boxes, whose
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12d0fbbd24756e5c8b1f91d51c687c05
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:
Mechanical Systems and Signal Processing. 141:106734
This paper presents a novel, simple method of Lyapunov Exponents (LEs) spectrum estimation for non-smooth and discontinuous systems. The presented algorithm works for continuous-time dynamical systems, as well as for discrete maps. Its simplicity and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef9ee4b50a055c979195682c644f90c4
https://doi.org/10.1016/j.ymssp.2020.106734
https://doi.org/10.1016/j.ymssp.2020.106734
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
Autor:
Artur Dabrowski
Publikováno v:
Nonlinear Dynamics. 78:1601-1608
Controlling system dynamics with use of the Largest Lyapunov Exponent (LLE) is employed in many different areas of the scientific research. Thus, there is still need to elaborate fast and simple methods of LLE calculation. This article is the second
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18e8d5de8fbff79a5c0a8761492d9101
https://doi.org/10.1007/s11071-014-1542-7
https://doi.org/10.1007/s11071-014-1542-7
Autor:
Artur Dabrowski
Publikováno v:
Nonlinear Dynamics. 67:283-291
Nowadays, the largest Lyapunov exponent (LLE) is employed in many different areas of the scientific research. Thus, there is still need to elaborate fast and simple methods of LLE calculation. The new method of the LLE estimation is presented in this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f96e13dc8c346ce833c7889686870c94
https://doi.org/10.1007/s11071-011-9977-6
https://doi.org/10.1007/s11071-011-9977-6