Deformation of linear ordinary differential equations. I

DOI10.3792/pjaa.56.143zbMath0453.34007OpenAlexW1984241922MaRDI QIDQ1149031

Michio Jimbo, Tetsuji Miwa

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.143

zbMATH Keywords

perturbationsisomonodromic deformationsmonodromic transformations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of ordinary differential equations (34D10) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Linear ordinary differential equations and systems (34A30) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (12)

Hiroshi Umemura and French mathematics ⋮ Parameterized Picard-Vessiot extensions and Atiyah extensions ⋮ Difference integrability conditions for parameterized linear difference and differential equations ⋮ Modulated bi-orthogonal polynomials on the unit circle: the \(2j-k\) and \(j-2k\) systems ⋮ Deformation of linear ordinary differential equations. II ⋮ Deformation of linear ordinary differential equations. IV ⋮ Isomonodromic differential equations and differential categories ⋮ Viscous shocks in Hele-Shaw flow and Stokes phenomena of the Painlevé I transcendent ⋮ Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function ⋮ Elliptic affine Lie algebras ⋮ Bi-orthogonal systems on the unit circle, regular semi-classical weights and integrable systems. II ⋮ Real algebrogeometric solutions of the Landau-Lifshitz equation in Prym theta functions

Cites Work

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• Holonomic quantum fields. IV
• Monodromy- and spectrum-preserving deformations. I
• Polynomial Hamiltonians associated with Painleve equations. I
• Monodromy preserving deformation and its application to soliton theory. II
• Monodromy preserving deformation of linear differential equations with irregular singular points

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