Composite asymptotic expansions

DOI10.1007/978-3-642-34035-2zbMath1269.34002OpenAlexW624683240MaRDI QIDQ691701

Reinhard Schäfke, Augustin Fruchard

Publication date: 4 December 2012

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-34035-2

zbMATH Keywords

singular perturbationsresonancecanardscomposite asymptotic expansionsGevrey theory

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60) Asymptotic theory for ordinary differential equations (34Exx)

Related Items (13)

Confluence of singularities of nonlinear differential equations via Borel-Laplace transformations ⋮ Boundary layer expansions for initial value problems with two complex time variables ⋮ Summability of canard-heteroclinic saddle connections ⋮ Gevrey normal form for unfoldings of nilpotent contact points of planar slow-fast systems ⋮ A computational overview of the solution space of the imaginary Painlevé II equation ⋮ On singular solutions to PDEs with turning point involving a quadratic nonlinearity ⋮ Side-comparison for transition maps in multi-layer canard problems ⋮ Formal solutions of singularly-perturbed linear differential systems ⋮ Asymptotics of the solution to the boundary-value problem when the limit equation has an irregular singular point ⋮ Gevrey Asymptotics of Slow Manifolds in Singularly Perturbed Delay Equations ⋮ Asymptotics of the solution to the boundary-value problems when limited equation has singular point ⋮ The asymptotics of solutions of a singularly perturbed equation with a of fractional turning point ⋮ Uniform simplification in a full neighborhood of a turning point

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