3 papers
nlin.SI2026
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…
nlin.SI2024
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…
math.CA2017
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…