Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Pavlos Kassotakis"'
Autor:
Pavlos Kassotakis
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100949- (2024)
We present three non-equivalent procedures to obtain entwining (non-constant) tetrahedron maps. Given a tetrahedron map, the first procedure incorporates its underlying symmetry group. With the second procedure we obtain several classes of entwining
Externí odkaz:
https://doaj.org/article/bd997eacf5aa4f1d95989c51aa1ec5c5
Autor:
Pavlos Kassotakis, Maciej Nieszporski
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 100 (2011)
We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the members of each family is in
Externí odkaz:
https://doaj.org/article/ad7a64962401431e9cbba0520fcbb7bf
Autor:
Pavlos Kassotakis, Theodoros Kouloukas
We introduce four lists of families of non-abelian quadrirational Yang-Baxter maps.
13 pages, 1 figure. v2: Typos corrected
13 pages, 1 figure. v2: Typos corrected
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c323bfb767d226af8ffeff8b5dccca4
http://arxiv.org/abs/2109.11975
http://arxiv.org/abs/2109.11975
Autor:
Nalini Joshi, Pavlos Kassotakis
Publikováno v:
Journal of Computational Dynamics. 6:325-343
A QRT map is the composition of two involutions on a biquadratic curve: one switching the \begin{document}$ x $\end{document} -coordinates of two intersection points with a given horizontal line, and the other switching the \begin{document}$ y $\end{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d0ec09a07f20440e8586738887653799
https://doi.org/10.3934/jcd.2019016
https://doi.org/10.3934/jcd.2019016
The Kahan discretization of the Lotka-Volterra system, associated with any skew-symmetric graph $\Gamma$, leads to a family of rational maps, parametrized by the step size. When these maps are Poisson maps with respect to the quadratic Poisson struct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0fee576f0d3bf6c9a45b9b431874227
http://arxiv.org/abs/2105.05799
http://arxiv.org/abs/2105.05799
A relationship between the tetrahedron equation for maps and the consistency property of integrable discrete equations on $\mathbb{Z}^3$ is investigated. Our approach is a generalization of a method developed in the context of Yang-Baxter maps, based
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4122cdf774b43e22573790550544b00e
http://arxiv.org/abs/1908.03019
http://arxiv.org/abs/1908.03019
Autor:
Pavlos Kassotakis
We present the explicit form of a family of Liouville integrable maps in 3 variables, the so-called triad family of maps and we propose a multi-field generalisation of the latter. We show that by imposing separability of variables to the invariants o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1080b08b28028af4be1a4b7114e99651
http://arxiv.org/abs/1901.01609
http://arxiv.org/abs/1901.01609
In this paper we construct a family of integrable reductions of the dressing chain, described in its Lotka-Volterra form. For each $k,n\in\mathbb N$ with $n\geqslant 2k+1$ we obtain a Lotka-Volterra system $\hbox{LV}_b(n,k)$ on $\mathbb R^n$ which is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1af6a10b058b4fe87e931cac39c242d
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 476:20190668
We present two lists of two-component systems of integrable difference equations defined on the edges of the Z 2 graph. The integrability of these systems is manifested by their Lax formulation which is a consequence of the multi-dimensional compatib
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d0cac2766d1d904721214b14272451bb
https://doi.org/10.1098/rspa.2019.0668
https://doi.org/10.1098/rspa.2019.0668
We construct a family of integrable deformations of the Bogoyavlenskij-Itoh systems and construct a Lax operator with spectral parameter for it. Our approach is based on the construction of a family of compatible Poisson structures for the undeformed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2094c141a9f4180afec9b4c869535c6
http://arxiv.org/abs/1709.06763
http://arxiv.org/abs/1709.06763