A note on the computation of bifurcation diagrams of the Kuramoto- Sivashinsky equation by pseudospectral methods
type: Item
instance of: scholarly article
title: A note on the computation of bifurcation diagrams of the Kuramoto- Sivashinsky equation by pseudospectral methods
zbMATH Open document ID: 0788.65124
DOI: 10.1016/0168-9274(93)90138-H
author: M. A. López-Marcos
published in: Applied Numerical Mathematics
publication date: 1993-12-20T00:00:00Z
review text: A \(2\pi\)-periodic Kuramoto-Sivashinsky equation in one spatial dimension is considered. It is known that the bifurcation breaks the translational symmetry of the trivial branch. In this paper it is shown that bifurcation diagrams of a given discretization corresponding to several mesh sizes may vary significantly according to the factorization properties of the number of grid points per period.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q40
zbMATH DE Number: 459320
zbMATH Keywords: pseudospectral methods
zbMATH Keywords: Kuramoto-Sivashinsky equation
zbMATH Keywords: bifurcation diagrams
reviewed by: Viorel Arnăutu
MaRDI profile type: Publication
cites work: Kuramoto–Sivashinsky Dynamics on the Center–Unstable Manifold
cites work: Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension
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cites work: Q3757280
cites work: Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
cites work: Subharmonic Branching in Reversible Systems
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cites work: The Computation of Symmetry-Breaking Bifurcation Points
Wikidata QID: Q126844387
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description: scientific article; zbMATH DE number 459320