Singularité analytique et perturbation singulière en dimension 2

DOI10.24033/bsmf.2228zbMath0799.34062OpenAlexW2507256909MaRDI QIDQ4301848

Guy Wallet

Publication date: 11 August 1994

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1994__122_2_185_0

zbMATH Keywords

singular perturbationasymptotic expansionunfoldingfirst approximationanalytic singularity

Mathematics Subject Classification ID

Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15) Nonstandard analysis (26E35)

Related Items (4)

La variété des équations surstables ⋮ Canard solutions in degenerate inflexion points ⋮ 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
• Surstabilité pour une équation différentielle analytique en dimension un. (Overstability for an analytic differential equation in dimension one)
• Nonstandard asymptotic analysis
• Non-standard analysis and singular perturbations of ordinary differential equations
• Internal set theory: A new approach to nonstandard analysis
• Regularizing Microscopes and Rivers
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