Gevrey properties of real planar singularly perturbed systems

DOI10.1016/j.jde.2007.04.005zbMath1123.34042OpenAlexW2139076332MaRDI QIDQ5901324

Peter De Maesschalck

Publication date: 19 July 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.04.005

zbMATH Keywords

singular perturbationsGevrey asymptoticsoverstable solutioncanard solutiondegenerate turning pointfamily blow up

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (2)

Gevrey properties of the asymptotic critical wave speed in a family of scalar reaction-diffusion equations ⋮ Planar canards with transcritical intersections

Cites Work

• Overstable solutions to slow-fast complex differential equations at the turning point
• From divergent power series to analytic functions. Theory and application of multisummable power series
• Overstability and resonance.
• Formal power series and linear systems of meromorphic ordinary differential equations
• Time analysis and entry-exit relation near planar turning points
• Canard solutions at non-generic turning points
• Canard cycles and center manifolds
• Gevrey solutions of singularly perturbed differential equations
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