On the Painlevé property of isomonodromic deformations of Fuchsian systems

DOI10.1007/s10440-008-9189-3zbMath1178.34114OpenAlexW2040905786MaRDI QIDQ941628

Vladimir Poberezhny

Publication date: 2 September 2008

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9189-3

zbMATH Keywords

Fuchsian systemsIsomonodromic deformationsSchlesinger deformations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items

On deformations of linear systems of differential equations and the Painlevé property ⋮ On the Painlevé property of isomonodromic deformations of Fuchsian systems

Cites Work

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• Painlevé VI, rigid tops and reflection equation
• On the Painlevé property of isomonodromic deformations of Fuchsian systems
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• The isomonodromic deformation method in the theory of Painlevé equations
• The general linear problem of the isomonodromic deformation of Fuchsian systems
• From Klein to Painlevé via Fourier, Laplace and Jimbo

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