Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Krzysztof Marciniak"'
Autor:
Maciej Blaszak, Krzysztof Marciniak
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Vol Proceedings: OCNMP... (2024)
In this paper we systematically consider various ways of generating integrable and separable Hamiltonian systems in canonical and in non-canonical representations from algebraic curves on the plane. In particular, we consider St\"ackel transform betw
Externí odkaz:
https://doaj.org/article/1438eaef500146d3b63e479d631c8bce
Publikováno v:
Advances in Theoretical and Mathematical Physics. 26:711-734
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3bd4f8deb8d1fbceab04a7c5e5a9d631
https://doi.org/10.4310/atmp.2022.v26.n3.a5
https://doi.org/10.4310/atmp.2022.v26.n3.a5
Publikováno v:
Studies in Applied Mathematics. 148:1208-1250
This article is the first one in a suite of three articles exploring connections between dynamical systems of St\"{a}ckel-type and of Painlev\'{e}- type. In this article we present a deformation of autonomous St\"{a}ckel-type systems to non-autonomou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a64fac356fa0f15673a662f4e6cd43df
https://doi.org/10.1111/sapm.12473
https://doi.org/10.1111/sapm.12473
Publikováno v:
Reports on Mathematical Physics. 87:249-263
Motivated by the theory of Painlev\'e equations and associated hierarchies, we study non-autonomous Hamiltonian systems that are Frobenius integrable. We establish sufficient conditions under which a given finite-dimensional Lie algebra of Hamiltonia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::934bbb65e932d79a0f84723aa0e696d3
https://doi.org/10.1016/s0034-4877(21)00028-8
https://doi.org/10.1016/s0034-4877(21)00028-8
This is the second article in a suite of articles investigating relations between St\"{a}ckel-type systems and Painlev\'{e}-type systems. In this article we construct isomonodromic Lax representations for Painlev\'{e}-type systems found in the previo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bff909d77b136bedd998595da3cd41b
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-184870
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-184870
Autor:
Maciej Błaszak, Krzysztof Marciniak
This is the third article in our series of articles exploring connections between dynamical systems of Stäckel-type and of Painlevé-type. In this article we present a method of deforming of minimally quantized quasi-Stäckel Hamiltonians, considere
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b82439964c3463d6f3c1b5ffdba48195
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-187439
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-187439
Autor:
Krzysztof Marciniak, Maciej Błaszak
We construct a map between Lax equations for pairs of Liouville integrable Hamiltonian systems related by a multiparameter Stackel transform. Using this map, we construct Lax representation for a wide class of separable systems by applying the multip
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec505908afec32384c2b7d7c8e25aeb9
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-167405
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-167405
Publikováno v:
The Archives of Automotive Engineering – Archiwum Motoryzacji. 81:109-128
The article highlights the problems encountered by the deaf people who want to obtain a driving licence and describes the steps taken by a Consortium that run a project named GŁUSI (THE DEAF) within the “Social Innovations” Programme of the Nati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::98ef0a6b3db9a0856c51527a8ca03b7d
https://doi.org/10.14669/am.vol81.art8
https://doi.org/10.14669/am.vol81.art8
Publikováno v:
Annals of Physics. 371:460-477
In this article we prove that many Hamiltonian systems that can not be separably quantized in the classical approach of Robertson and Eisenhardt can be separably quantized if we extend the class of admissible quantizations through a suitable choice o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::949e6561d455c09289894ab46490848f
https://doi.org/10.1016/j.aop.2016.06.007
https://doi.org/10.1016/j.aop.2016.06.007
Autor:
Krzysztof Marciniak, Maciej Błaszak
Publikováno v:
Applied Mathematics and Computation. 268:706-716
In this article we explicitly construct Stackel separable systems in separation coordinates with the help of separation curve as introduced by Sklyanin. Further, we construct explicit transformation between separable and flat coordinates for flat Sta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c2c3d8c46e73027667964b9591b038b
https://doi.org/10.1016/j.amc.2015.06.099
https://doi.org/10.1016/j.amc.2015.06.099