An elementary solution to the problem of splitting separatrices
type: Item
instance of: scholarly article
title: An elementary solution to the problem of splitting separatrices
zbMATH Open document ID: 0890.39006
author: Augustin Fruchard
published in: Annales Mathématiques Blaise Pascal
publication date: 1998-06-28T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/79179
review text: Du résumé de l'auteur: Je présente une méthode pour construire des solutions analytiques de l'équation aux différences \(y(x+\varepsilon)-y(x-\varepsilon)=2\varepsilon(1-y(x)^2)\) proches de la fonction \(\tanh\), et j'utilise ces solutions pour calculer la longueur des paliers des solutions fantômes de l'équation logistique.
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 37C70
zbMATH DE Number: 1053376
zbMATH Keywords: spliting of separatrices
zbMATH Keywords: small step size difference equations
zbMATH Keywords: logistic equation
zbMATH Keywords: phantom solutions
zbMATH Keywords: elementary solution
reviewed by: Alexander Mednykh
MaRDI profile type: Publication
OpenAlex ID: W2328717874
cites work: Q3765134
cites work: Q3488194
cites work: Q3488193
cites work: Q4291256
cites work: Splitting of separatrices for standard and semistandard mappings
cites work: Chaos in numerical analysis of ordinary differential equations
DOI: 10.5802/AMBP.86
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description: scientific article; zbMATH DE number 1053376