The Ginzburg-Landau equation as a normal form for a second-order difference-differential equation with a large delay
type: Item
instance of: scholarly article
title: The Ginzburg-Landau equation as a normal form for a second-order difference-differential equation with a large delay
zbMATH Open document ID: 0951.34042
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-03T00:00:00Z
review text: The author deals with the local dynamics of a second-order nonlinear difference-differential equation with ``large'' delay. It is shown that, in the vicinity of ``critical'' cases, the structure of solutions is determined by the dynamics of an equation of the Ginzburg-Landau type, which plays the role of a normal form.
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 1467894
zbMATH Keywords: difference-differential
zbMATH Keywords: normal form
zbMATH Keywords: delay
zbMATH Keywords: singularly perturbed
zbMATH Keywords: dynamics
author: S. A. Kashchenko
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1467894