Systematic construction of nonautonomous Hamiltonian equations of Painlevé type. I. Frobenius integrability
Systematic construction of nonautonomous Hamiltonian equations of Painlevé type. I. Frobenius integrability
Abstract 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 deformation of autonomous Stäckel‐type systems to nonautonomous Frobenius integrable systems. First, we consider quasi‐Stäckel systems with quadratic in momenta …