Systematic construction of non-autonomous Hamiltonian equations of Painlevé-type. I. Frobenius integrability

Maciej Błaszak, Krzysztof Marciniak, Ziemowit Domański

This article is the first one in a suite of three articles exploring connections between dynamical systems of Stäckel-type and of Painlevé- type. In this article we present a defor…