Isomonodromy deformations at an irregular singularity with coalescing eigenvalues

DOI10.1215/00127094-2018-0059zbMath1416.34079arXiv1706.04808OpenAlexW3098544102MaRDI QIDQ2631593

Giordano Cotti, Davide Guzzetti, B. A. Dubrovin

Publication date: 15 May 2019

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04808

zbMATH Keywords

singularitiesmonodromynormal formsisomonodromic deformationsFrobenius manifoldslocal behavior of solutionscoalescence of eigenvaluesnonadmissible deformationsPainleve' equationsStokes' matrices

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Linear ordinary differential equations and systems in the complex domain (34M03) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

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