Corrigendum to “A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral” [J. Differ. Equ. 333 (2022) 361–406]

In [1] the Theorems 1, 2 and 3, as well as Proposition 1, are incorrect as they are stated. To make them correct it suffices to add the extra conditionD(x,0,λ)=0 to the expressions (1.1) and (1.4). The same holds for Definition 2.

Saved in:
Bibliographic Details
Published in:Journal of Differential Equations 2024-11, Vol.409, p.881-883
Main Author: Dumortier, Freddy
Format: Article
Language:English
Subjects:
Invariant foliation
Invariant manifold
Normal form
Planar diffeomorphism
Planar vector field
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 [1] the Theorems 1, 2 and 3, as well as Proposition 1, are incorrect as they are stated. To make them correct it suffices to add the extra conditionD(x,0,λ)=0 to the expressions (1.1) and (1.4). The same holds for Definition 2.
ISSN:0022-0396
DOI:10.1016/j.jde.2024.08.028