9 citations · 13 across the 5 of their papers we have counts for
6 papers
Modified Painlevé systems with meromorphic solutions for polynomial Hamiltonians of all degrees
Marta Dell'Atti, Thomas Kecker
We review non-autonomous Hamiltonian systems, polynomial in two dependent variables, with the property that all of their solutions are meromorphic functions in the complex plane. T…
Spaces of initial conditions for quartic Hamiltonian systems of Painlevé and quasi-Painlevé type
Marta Dell'Atti, Thomas Kecker
The geometric approach for Painlevé and quasi-Painlevé differential equations in the complex plane is applied to non-autonomous Hamiltonian systems, quartic in the dependent variab…
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…