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Matematicheskie Zametki, 2010, Volume 87, Issue 3, Pages 330–336
DOI: https://doi.org/10.4213/mzm8672 (Mi mzm8672) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Isomonodromic Confluence of Singular Points

Yu. P. Bibilo

M. V. Lomonosov Moscow State University
Full-text PDF (435 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm8672
Abstract: 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.
Keywords: isomonodromic deformation, linear differential equation, confluence of singular points, Poincaré rank, gauge transformation, monodromy matrix, Fuchsian system.
Received: 30.09.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 3, Pages 309–315
DOI: https://doi.org/10.1134/S0001434610030028
Bibliographic databases:
Document Type: Article
UDC: 517.927.7
Language: Russian
Citation: Yu. P. Bibilo, “Isomonodromic Confluence of Singular Points”, Mat. Zametki, 87:3 (2010), 330–336; Math. Notes, 87:3 (2010), 309–315
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    1. Malek S., “On Boundary Layer Expansions For a Singularly Perturbed Problem With Confluent Fuchsian Singularities”, Mathematics, 8:2 (2020), 189  crossref  isi
    2. D. V. Anosov, V. P. Leksin, “Andrei Andreevich Bolibrukh's works on the analytic theory of differential equations”, Russian Math. Surveys, 66:1 (2011), 1–33  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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