Non-autonomous Henon-Heiles system from Painleve class

Abstract

We show how to deform separable Henon-Heiles system with isospectral Lax representation, related with the stationary flow of the $5th$-order KdV, to respective non-autonomous systems of Painleve type with isomonodromic Lax representation.

arXiv comment5 pages

References in corpus (4)

• Non-autonomous Hénon-Heiles Systems
• On an isomonodromy deformation equation without the Painlevé property
• Lax Representations for Separable Systems from Benenti Class
• Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians

Cited by in corpus (2)

• Lax Representations for Separable Systems from Benenti Class
• Systematic construction of non-autonomous Hamiltonian equations of Painlevé-type. I. Frobenius integrability