On canonical parametrization of the phase spaces of equations of isomonodromic deformations of Fuchsian systems of dimension $ 2\times 2$. Derivation of the Painlevé VI equation

DOI10.1070/RM2009v064n01ABEH004592zbMath1180.34099OpenAlexW2088349291MaRDI QIDQ3497583

Mikhail Vasilievich Babich

Publication date: 27 July 2009

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2009v064n01abeh004592

zbMATH Keywords

phase spaceHamiltonian systemDarboux coordinatessymplectic manifoldisomonodromic deformationsFuchsian systemPainlevé VI equationsurface of initial data

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Painlevé-type functions (33E17) Linear ordinary differential equations and systems in the complex domain (34M03)

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