Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Artur Kobus"'
Autor:
Artur Kobus, Jan L. Cieśliński
Publikováno v:
Entropy, Vol 24, Iss 3, p 338 (2022)
We propose a new tool to deal with autonomous ODE systems for which the solution to the Hamiltonian inverse problem is not available in the usual, classical sense. Our approach allows a class of formally conserved quantities to be constructed for dyn
Externí odkaz:
https://doaj.org/article/b6f27eb6ba384492a81d8d46901bc1d6
Autor:
Jan L. Cieśliński, Artur Kobus
Publikováno v:
Symmetry, Vol 13, Iss 8, p 1504 (2021)
The set of scators was introduced by Fernández-Guasti and Zaldívar in the context of special relativity and the deformed Lorentz metric. In this paper, the scator space of dimension 1+n (for n=2 and n=3) is interpreted as an intersection of some qu
Externí odkaz:
https://doaj.org/article/13f269d8644d4203b83fb99afb0d64a1
Autor:
Artur Kobus, Jan L. Cieśliński
Publikováno v:
Symmetry, Vol 12, Iss 11, p 1880 (2020)
The scator space, introduced by Fernández-Guasti and Zaldívar, is endowed with a product related to the Lorentz rule of addition of velocities. The scator structure abounds with definitions calculationally inconvenient for algebraic operations, lik
Externí odkaz:
https://doaj.org/article/a29f2067248f46a18eda10925462f47a
Autor:
Jan L. Cieśliński, Artur Kobus
Publikováno v:
Axioms, Vol 9, Iss 2, p 55 (2020)
Scator set, introduced by Fernández-Guasti and Zaldívar, is endowed with a very peculiar non-distributive product. In this paper we consider the scator space of dimension 1 + 2 and the so called fundamental embedding which maps the subset of scator
Externí odkaz:
https://doaj.org/article/88dc3b2aa175497f9ce8172a99bb9422
Autor:
Jan L. Cieśliński, Artur Kobus
Publikováno v:
Mathematics, Vol 8, Iss 2, p 231 (2020)
A numerical scheme is said to be locally exact if after linearization (around any point) it becomes exact. In this paper, we begin with a short review on exact and locally exact integrators for ordinary differential equations. Then, we extend our app
Externí odkaz:
https://doaj.org/article/a9f984e44d954c39b9d17fc7591544f3
Autor:
Jan L. Cieśliński, Artur Kobus
Publikováno v:
Advances in Mathematical Physics, Vol 2016 (2016)
We study Lax triples (i.e., Lax representations consisting of three linear equations) associated with families of surfaces immersed in three-dimensional Euclidean space E3. We begin with a natural integrable deformation of the principal chiral model.
Externí odkaz:
https://doaj.org/article/d78e6e4dd0954abe84eae2beb986b030
Autor:
Jan L. Cieśliński, Artur Kobus
Publikováno v:
Symmetry
Volume 12
Issue 11
Symmetry, Vol 12, Iss 1880, p 1880 (2020)
Volume 12
Issue 11
Symmetry, Vol 12, Iss 1880, p 1880 (2020)
The scator space, introduced by Ferná
ndez-Guasti and Zaldí
var, is endowed with a product related to the Lorentz rule of addition of velocities. The scator structure abounds with definitions calculationally inconvenient for alg
ndez-Guasti and Zaldí
var, is endowed with a product related to the Lorentz rule of addition of velocities. The scator structure abounds with definitions calculationally inconvenient for alg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c541b57e8fc0312d4993c36ea3180925
Autor:
Jan Cieslinski, Artur Kobus
Publikováno v:
Entropy; Volume 24; Issue 3; Pages: 338
We propose a new tool to deal with autonomous ODE systems for which the solution to the Hamiltonian inverse problem is not available in the usual, classical sense. Our approach allows a class of formally conserved quantities to be constructed for dyn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4c3a198bb830ce51ea6fe0161e5ad39
https://doi.org/10.3390/e24030338
https://doi.org/10.3390/e24030338
Autor:
Artur Kobus, Jan L. Cieśliński
Publikováno v:
Symmetry, Vol 13, Iss 1504, p 1504 (2021)
Symmetry
Volume 13
Issue 8
Symmetry
Volume 13
Issue 8
The set of scators was introduced by Fernández-Guasti and Zaldívar in the context of special relativity and the deformed Lorentz metric. In this paper, the scator space of dimension 1+n (for n=2 and n=3) is interpreted as an intersection of some qu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dce8f080a7cf6d7328d8c1b887e821a9
https://doi.org/10.3390/sym13081504
https://doi.org/10.3390/sym13081504
Autor:
Jan L. Cieśliński, Artur Kobus
It is well known that in some cases the spectral parameter has a group interpretation. We discuss in detail the case of Gauss-Codazzi equations for isothermic surfaces immersed in $E^3$. The algebra of Lie point symmetries is 4-dimensional and all th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c91cc532d05bb6b9545437530633260c
