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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★ 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…