A dynamical systems approach to WKB-methods: The simple turning point

In this paper, we revisit the classical linear turning point problem for the second order differential equation ϵ2x″+μ(t)x=0 with μ(0)=0,μ′(0)≠0 for 0

Saved in:
Bibliographic Details
Published in:Journal of Differential Equations 2024-10, Vol.406, p.202-254
Main Authors: Kristiansen, K.U., Szmolyan, P.
Format: Article
Language:English
Subjects:
Blow-up method
Geometric singular perturbation theory
Normal forms
Slow manifold
Turning point
WKB-method
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we revisit the classical linear turning point problem for the second order differential equation ϵ2x″+μ(t)x=0 with μ(0)=0,μ′(0)≠0 for 0
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2024.06.006