Geodesic
Isomonodromic Confluence of Singular Points
Matematičeskie zametki, Tome 87 (2010) no. 3, pp. 330-336.

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We consider the problem of confluence of singular points under isomonodromic deformations of linear systems. We prove that a system with irregular singular points is a result of isomonodromic confluence of singular points with minimal Poincaré ranks, i.e., of singular points whose Poincaré rank does not decrease under gauge transformations.
Mots-clés : isomonodromic deformation, monodromy matrix
Keywords: linear differential equation, confluence of singular points, Poincaré rank, gauge transformation, Fuchsian system. 
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Yu. P. Bibilo. Isomonodromic Confluence of Singular Points. Matematičeskie zametki, Tome 87 (2010) no. 3, pp. 330-336. http://geodesic.mathdoc.fr/item/MZM_2010_87_3_a1/

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