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nlin.SI2024★ 1 cited
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.CA2024★ 3 cited
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…