Complete system of analytic invariants for unfolded differential linear systems with an irregular singularity of Poincar\'e rank 1

zbMath1263.34127arXiv1105.2269MaRDI QIDQ4902648

Caroline Lambert, Christiane Rousseau

Publication date: 17 January 2013

Full work available at URL: https://arxiv.org/abs/1105.2269

zbMATH Keywords

monodromydivergent seriessummabilityconfluenceunfoldingirregular singularityrealizationStokes phenomenonanalytic classificationRiccati matrix differential equation

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) 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)

Related Items (9)

Stokes phenomenon and confluence in non-autonomous Hamiltonian systems ⋮ Confluence of singularities of nonlinear differential equations via Borel-Laplace transformations ⋮ Zero level perturbation of a certain third-order linear solvable ODE with an irregular singularity at the origin of Poincaré rank 1 ⋮ Moduli space for generic unfolded differential linear systems ⋮ Analytic classification of families of linear differential systems unfolding a resonant irregular singularity ⋮ Results on the extension of isomonodromy deformations to the case of a resonant irregular singularity ⋮ Stokes matrices of a reducible double confluent Heun equation via monodromy matrices of a reducible general Heun equation with symmetric finite singularities ⋮ Unfolding of the unramified irregular singular generalized isomonodromic deformation ⋮ Coalescing Complex Planar Stationary Points

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