9 citations · 13 across the 5 of their papers we have counts for
4 papers · 1 filter
Geometric approach for the identification of Hamiltonian systems of quasi-Painlevé type
Marta Dell'Atti, Thomas Kecker
Some new Hamiltonian systems of quasi-Painlevé type are presented and the analogue of Okamoto's space of initial conditions computed. Using the geometric approach that was introduc…
Regularising Transformations for Complex Differential Equations with Movable Algebraic Singularities
Thomas Kecker, Galina Filipuk
In a 1979 paper, K. Okamoto introduced the space of initial values for the six Painlevé equations and their associated Hamiltonian systems, showing that these define regular initia…
Space of initial conditions for a cubic Hamiltonian system
Thomas Kecker
In this paper we perform the analysis that leads to the space of initial conditions for the Hamiltonian system , , studied by the author in a…
Polynomial Hamiltonian Systems with Movable Algebraic Singularities
Thomas Kecker
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…