Overstability and resonance.

DOI10.5802/aif.1943zbMath1037.34047OpenAlexW2314079956MaRDI QIDQ1864245

Augustin Fruchard, Reinhard Schäfke

Publication date: 17 March 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2003__53_1_227_0

zbMATH Keywords

singular perturbationresonanceoverstabilitycanard solution

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

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Summability of canard-heteroclinic saddle connections ⋮ Gevrey normal forms for nilpotent contact points of order two ⋮ On maximum bifurcation delay in real planar singularly perturbed vector fields ⋮ Gevrey properties of real planar singularly perturbed systems ⋮ Gevrey properties of real planar singularly perturbed systems ⋮ Classification of resonant equations ⋮ Canard solutions of two-dimensional singularly perturbed systems ⋮ Canard solution and its asymptotic approximation in a second-order nonlinear singularly perturbed boundary value problem with a turning point

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