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.SI2025
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 vari…
math.CA2025
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 introdu…