Wavelet projections of the Kuramoto-Sivashinsky equation. I: Heteroclinic cycles and modulated traveling waves for short systems
type: Item
instance of: scholarly article
title: Wavelet projections of the Kuramoto-Sivashinsky equation. I: Heteroclinic cycles and modulated traveling waves for short systems
zbMATH Open document ID: 0890.58086
DOI: 10.1016/0167-2789(95)00076-G
author: J. Elezgaray
author: Mark H. Myers
author: Philip Holmes
author: G. Berkooz
published in: Physica D
publication date: 1995-08-29T00:00:00Z
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 82B44
Mathematics Subject Classification ID: 37C80
zbMATH DE Number: 791656
zbMATH Keywords: Kuramoto-Sivashinsky partial differential equation
zbMATH Keywords: Perrier-Basdevant wavelets
zbMATH Keywords: heteroclinic cycles
zbMATH Keywords: travelling waves
zbMATH Keywords: \(({\mathcal O}(2))\) symmetry
describes a project that uses: DSTool
MaRDI profile type: Publication
cites work: Coherent structures in random media and wavelets
cites work: Q4359403
cites work: Q4207707
cites work: Kuramoto–Sivashinsky Dynamics on the Center–Unstable Manifold
cites work: Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
cites work: Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
cites work: Ten Lectures on Wavelets
cites work: Q4023965
cites work: Heteroclinic cycles and modulated travelling waves in a system with \(D_ 4\) symmetry
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: The stable, center-stable, center, center-unstable, unstable manifolds
full work available at URL: 0167-2789(95)00076-g
OpenAlex ID: W2062233742
Recommended article: Q4872656
Recommended article: Travelling-waves of the Kuramoto-Sivashinsky, equation: period-multiplying bifurcations
Recommended article: On traveling-wave solutions of the Kuramoto-Sivashinsky equation
Recommended article: Travelling wave solutions of the Kuramoto-Sivashinsky equation
Recommended article: Travelling wave solutions to the Kuramoto-Sivashinsky equation
Recommended article: On wave structures described by the generalized Kuramoto-Sivashinsky equation
Recommended article: Two-periodical and quasi-periodical wave solutions of the Kuramoto- Sivashinsky equation and their stability and bifurcations
Recommended article: Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation
Recommended article: Traveling waves and space-time chaos in the Kuramoto-Sivashinsky equation
Recommended article: Instability of traveling waves of the Kuramoto-Sivashinsky equation
description: scientific article; zbMATH DE number 791656