Geodesic
Isomonodromic deformations of Heun and Painlevé equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 3, pp. 395-406 Cet article a éte moissonné depuis la source Math-Net.Ru

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Continuing the study of the relationship between the Heun and the Painlevé classes of equations reported in two previous papers, we formulate and prove the main theorem expressing this relationship. We give a Hamiltonian interpretation of the isomonodromic deformation condition and propose an alternative classification of the Painlevé equations, which includes ten equations. 
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S. Yu. Slavyanov. Isomonodromic deformations of Heun and Painlevé equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 3, pp. 395-406. http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a2/

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