Surstabilité pour une équation différentielle analytique en dimension un. (Overstability for an analytic differential equation in dimension one)
type: Item
instance of: scholarly article
title: Surstabilité pour une équation différentielle analytique en dimension un. (Overstability for an analytic differential equation in dimension one)
zbMATH Open document ID: 0695.34055
author: Guy Wallet
publication date: 1990-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74888
review text: With regard to the delayed bifurcation problem, the notion of overstable solution is defined for a family of analytic differential equation with a small parameter. With the help of nonstandard asymptotic analysis, we prove that overstable solutions exist for some exceptional values of a control parameter. The main tool of the demonstration is a summation theorem which constitutes a generalization of a A. N. Neishtadt's result.
Mathematics Subject Classification ID: 34D30
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34A25
zbMATH DE Number: 4138217
zbMATH Keywords: duck
zbMATH Keywords: delayed bifurcation problem
zbMATH Keywords: overstable solution
zbMATH Keywords: analytic differential equation with a small parameter
zbMATH Keywords: nonstandard asymptotic analysis
MaRDI profile type: Publication
OpenAlex ID: W2332466589
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DOI: 10.5802/AIF.1224
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 4138217