Surstabilité pour une équation différentielle analytique en dimension un. (Overstability for an analytic differential equation in dimension one)

DOI10.5802/aif.1224zbMath0695.34055OpenAlexW2332466589MaRDI QIDQ909859

Guy Wallet

Publication date: 1990

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1990__40_3_557_0

zbMATH Keywords

analytic differential equation with a small parameterdelayed bifurcation problemducknonstandard asymptotic analysisoverstable solution

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30)

Related Items

Singularité analytique et perturbation singulière en dimension 2 ⋮ La variété des équations surstables ⋮ Overstable solutions to slow-fast complex differential equations at the turning point ⋮ Multisummability of formal solutions of singular perturbation problems

Cites Work

• Chasse au canard
• Entrée-sortie dans un tourbillon
• Non-standard analysis and singular perturbations of ordinary differential equations
• Imperfect Bifurcation with a Slowly-Varying Control Parameter
• Internal set theory: A new approach to nonstandard analysis
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