Asymptotic expansions for a degenerate canard explosion
type: Item
instance of: scholarly article
title: Asymptotic expansions for a degenerate canard explosion
zbMATH Open document ID: 1496.34094
author: B. W. Qin
author: Kwok-wai Chung
author: Antonio Algaba
author: Alejandro J. Rodríguez-Luis
published in: Physica D
publication date: 2022-02-22T00:00:00Z
review text: The problem of a turning point (including degenerate turning point) is a key issue in singular perturbation theory. This article develops a new way, namely, the asymptotic expansion approach of suitable order, to detect canard explosion generated by the higher-order (degenerate) turning point in a two-dimensional singularly perturbated system. By this method, the canard curve can also be calculated with respect to the perturbation parameter to arbitrary order. It is shown that this asymptotic expansion-based method is quite effective to analyze the canard explosion phenomena generated by the degenerate turning point.
reviewed by: Jianhe Shen
Mathematics Subject Classification ID: 34E17
Mathematics Subject Classification ID: 34E20
Mathematics Subject Classification ID: 34E05
zbMATH DE Number: 7479439
zbMATH Keywords: Canard
zbMATH Keywords: turning point
zbMATH Keywords: singular perturbation
describes a project that uses: AUTO
describes a project that uses: HomCont
describes a project that uses: MATCONT
describes a project that uses: AUTO-07P
MaRDI profile type: Publication
full work available at URL: j.physd.2020.132841
OpenAlex ID: W3125549919
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Asymptotic expansions for a degenerate canard explosion (DOI)
DOI: 10.1016/J.PHYSD.2020.132841