Zobrazeno 1 - 10
of 571
pro vyhledávání: '"Okninski, A."'
Autor:
Kyziol, Jan, Okniński, Andrzej
We investigate the $1: 2$ resonance in the periodically forced asymmetric Duffing oscillator due to the period-doubling of the primary $1: 1$ resonance or forming independently, coexisting with the primary resonance. We compute the steady-state asymp
Externí odkaz:
http://arxiv.org/abs/2407.03423
Autor:
Cedo, Ferran, Okninski, Jan
For every prime number p and integer $n>1$, a simple, involutive, non-degenerate set-theoretic solution $(X,r$) of the Yang-Baxter equation of cardinality $|X| = p^n$ is constructed. Furthermore, for every non-(square-free) positive integer m which i
Externí odkaz:
http://arxiv.org/abs/2407.07907
A complete classification of all finite bijective set-theoretic solutions $(S,s)$ to the Pentagon Equation is obtained. First, it is shown that every such a solution determines a semigroup structure on the set $S$ that is the direct product $E\times
Externí odkaz:
http://arxiv.org/abs/2405.20406
Autor:
Cedo, Ferran, Okninski, Jan
A new class of indecomposable, irretractable, involutive, non-degenerate set-theoretic solutions of the Yang--Baxter equation is constructed. This class complements the class of such solutions constructed in \cite{CO22} and together they generalize t
Externí odkaz:
http://arxiv.org/abs/2401.12904
Autor:
Kyzioł, Jan, Okniński, Andrzej
Publikováno v:
Journal of Theoretical and Applied Mechanics 62 (2024) 713-719
In this work, we investigate the period doubling phenomenon in the periodically forced asymmetric Duffing oscillator. We use the known steady-state asymptotic solution -- the amplitude-frequency implicit function -- and known criterion for the existe
Externí odkaz:
http://arxiv.org/abs/2312.00830
Autor:
Cedó, Ferran, Okniński, Jan
Indecomposable involutive non-degenerate set-theoretic solutions $(X,r)$ of the Yang-Baxter equation of cardinality $p_1\cdots p_n$, for different prime numbers $p_1,\ldots, p_n$, are studied. It is proved that they are multipermutation solutions of
Externí odkaz:
http://arxiv.org/abs/2212.06753
Autor:
Okniński, Andrzej
We proceed with our study of the Hagen-Hurley equations describing spin one bosons. In this work, we describe a general decay of the Hagen-Hurley boson. It is important that the transformation conserves spin $s=1$ of the decaying boson and provides i
Externí odkaz:
http://arxiv.org/abs/2208.12889
Autor:
Kyzioł, Jan, Okniński, Andrzej
Publikováno v:
Nonlinear Dynamics and Systems Theory 23 (1) (2023) 46-57
We study the jump phenomenon present in the forced asymmetric Duffing oscillator using the known steady-state asymptotic solution. The major result is the computation of the jump manifold, which encodes global information about all possible jumps.
Externí odkaz:
http://arxiv.org/abs/2203.05017
Autor:
Cedó, Ferran, Okniński, Jan
Involutive non-degenerate set theoretic solutions of the Yang-Baxter equation are considered, with a focus on finite solutions. A rich class of indecomposable and irretractable solutions is determined and necessary and sufficient conditions are found
Externí odkaz:
http://arxiv.org/abs/2112.07271
Autor:
Kyzioł, Jan, Okniński, Andrzej
Publikováno v:
Acta Phys. Pol. B 52(10) (2021) 1239-1262
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:
http://arxiv.org/abs/2102.04850