Four-dimensional Painlevé-type equations associated with ramified linear equations II: Sasano systems

Abstract

This is a continuation of the paper "Four-dimensional Painlevé-type equations associated with ramified linear equations I: Matrix Painlevé systems" (arXiv:1608.03927). In this series of three papers we aim to construct the complete degeneration scheme of four-dimensional Painlevé-type equations. In the present paper, we construct the degeneration scheme of what we call the Sasano system.

37 pages. arXiv admin note: text overlap with arXiv:1608.03927

References in corpus (5)

• Dual Isomonodromic Deformations and Moment Maps to Loop Algebras
• Degeneration scheme of 4-dimensional Painlevé-type equations
• Coupled Painlevé VI systems in dimension four with affine Weyl group symmetry of type $D_6^{(1)}$, II
• Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji-Suzuki Systems
• Four-dimensional Painlevé-type equations associated with ramified linear equations I: Matrix Painlevé systems

Cited by in corpus (5)

• Gaussian unitary ensemble with jump discontinuities and the coupled Painlevé II and IV systems
• Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji-Suzuki Systems
• Four-dimensional Painlevé-type equations associated with ramified linear equations I: Matrix Painlevé systems
• Uniqueness of polarization for the autonomous 4-dimensional Painlevé-type systems
• Four-dimensional Painlevé-type difference equations