Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Andrzej Okninski"'
Autor:
Jan Kyzioł, Andrzej Okninski
We study the Duffing equation and its generalizations with polynomial nonlinearities. Recently, we have demonstrated that metamorphoses of the amplitude response curves, computed by asymptotic methods in implicit form as $F\left( \Omega ,\ A\right) =
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4aac61068bb1620aadfa949b16180a07
Autor:
Andrzej Okninski, Jan Kyzioł
Dynamics of nonlinear coupled driven oscillators is investigated. Recently, we have demonstrated that the amplitude profiles -- dependence of the amplitude $A$ on frequency $\Omega$ of the driving force, computed by asymptotic methods in implicit for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9f451bc0d2c4e027c317ef390e280dc
Autor:
Andrzej Okninski, Jan Kyziol
Publikováno v:
Processes, Vol 10, Iss 127, p 127 (2022)
Processes; Volume 10; Issue 1; Pages: 127
Processes; Volume 10; Issue 1; Pages: 127
In this paper, we study the bifurcations of non-linear dynamical systems. We continue to develop the analytical approach, permitting the prediction of the bifurcation of dynamics. Our approach is based on implicit (approximate) amplitude-frequency re
Autor:
Jan Kyzioł, Andrzej Okninski
Publikováno v:
International Journal of Non-Linear Mechanics. 95:272-276
We study dynamics of two coupled periodically driven oscillators. The internal motion is separated off exactly to yield a nonlinear fourth-order equation describing inner dynamics. Periodic steady-state solutions of the fourth-order equation are dete
Autor:
Jan Kyzioł, Andrzej Okninski
Dynamics of the Duffing--Van der Pol driven oscillator is investigated. Periodic steady-state solutions of the corresponding equation are computed within the Krylov-Bogoliubov-Mitropolsky approach to yield dependence of amplitude $A$ on forcing frequ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22d01d16c69d3d4d88005f7c72c9242a
Autor:
Andrzej Okninski
Publikováno v:
Advances in Mathematical Physics, Vol 2018 (2018)
A simple link between βμ matrices of the Duffin-Kemmer-Petiau theory and ρμ matrices of Tzou representations is constructed. The link consists of a constant unitary transformation of the βμ matrices and a projection onto a lower-dimensional sub
Autor:
Jan Kyzioł, Andrzej Okninski
Publikováno v:
AIP Conference Proceedings.
We study dynamics of two coupled periodically driven oscillators. The internal motion is separated off exactly to yield a nonlinear fourth-order equation describing inner dynamics. Periodic steady-state solutions of the fourth-order equation are dete
Publikováno v:
International Journal of Non-Linear Mechanics. 65:226-235
Nonlinear dynamics of a bouncing ball moving vertically in a gravitational field and colliding with a moving limiter is considered and the Poincar\'e map, describing evolution from an impact to the next impact, is described. Displacement of the table
Autor:
Andrzej Okninski
Publikováno v:
Advances in High Energy Physics
Advances in High Energy Physics, Vol 2016 (2016)
Advances in High Energy Physics, Vol 2016 (2016)
We study the 7x7 Hagen-Hurley equations describing spin 1 particles. We split these equations, in the interacting case, into two Dirac equations with non-standard solutions. It is argued that these solutions describe decay of a virtual W boson in bet
Autor:
Andrzej Okninski
Publikováno v:
Symmetry, Vol 4, Iss 3, Pp 427-440 (2012)
Symmetry
Volume 4
Issue 3
Pages 427-440
Symmetry
Volume 4
Issue 3
Pages 427-440
Recently, we have demonstrated that some subsolutions of the freeDuffin-Kemmer-Petiau and the Dirac equations obey the same Dirac equa-tion with some built-in projection operators.In the present paper we study the Dirac equation in the interactingcas