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pro vyhledávání: '"Kecker, Thomas"'
Autor:
Dell'Atti, Marta, Kecker, Thomas
Some new Hamiltonian systems of quasi-Painlev\'e type are presented and their Okamoto's space of initial conditions computed. Using the geometric approach that was introduced originally for the identification problem of Painlev\'e equations, comparin
Externí odkaz:
http://arxiv.org/abs/2402.19053
Regularising Transformations for Complex Differential Equations with Movable Algebraic Singularities
Autor:
Kecker, Thomas, Filipuk, Galina
Publikováno v:
Math Phys Anal Geom 25, 9 (2022)
In a 1979 paper, K. Okamoto introduced the space of initial values for the six Painlev\'e equations and their associated Hamiltonian systems, showing that these define regular initial value problems at every point of an augmented phase space, a ratio
Externí odkaz:
http://arxiv.org/abs/2101.03432
Autor:
Kecker, Thomas
In this paper we perform the analysis that leads to the space of initial conditions for the Hamiltonian system $q' = p^2 + zq + \alpha$, $p' = -q^2 - zp - \beta$, studied by the author in an earlier article. By compactifying the phase space of the sy
Externí odkaz:
http://arxiv.org/abs/1705.00234
Autor:
Kecker, Thomas
The singularity structure of solutions of a class of Hamiltonian systems of ordinary differential equations in two dependent variables is studied. It is shown that for any solution, all movable singularities, obtained by analytic continuation along a
Externí odkaz:
http://arxiv.org/abs/1312.4030
Autor:
Kecker, Thomas, Filipuk, Galina
Publikováno v:
Mathematical Physics, Analysis & Geometry; Mar2022, Vol. 25 Issue 1, p1-43, 43p
Autor:
Filipuk, Galina, Kecker, Thomas
Publikováno v:
Results in Mathematics / Resultate der Mathematik; Feb2022, Vol. 77 Issue 1, p1-14, 14p
Autor:
Kecker, Thomas
Publikováno v:
Complex Variables & Elliptic Equations; Jan2019, Vol. 64 Issue 1, p132-142, 11p
Autor:
Kecker, Thomas
Publikováno v:
Journal d'Analyse Mathématique; Jul2016, Vol. 129 Issue 1, p197-218, 22p
Autor:
Kecker, Thomas
Publikováno v:
Computational Methods & Function Theory; Jun2016, Vol. 16 Issue 2, p307-317, 11p
Autor:
Kecker, Thomas
Publikováno v:
Computational Methods & Function Theory; Dec2012, Vol. 12 Issue 2, p653-667, 15p