Singularly perturbed and nonlocal modulation equations for systems with interacting instability mechanisms
type: Item
instance of: scholarly article
title: Singularly perturbed and nonlocal modulation equations for systems with interacting instability mechanisms
zbMATH Open document ID: 0885.58075
DOI: 10.1007/BF02678142
published in: Journal of Nonlinear Science
publication date: 1998-04-26T00:00:00Z
Mathematics Subject Classification ID: 37J40
zbMATH DE Number: 1071480
zbMATH Keywords: singularly perturbed systems
zbMATH Keywords: interacting instability mechanisms
zbMATH Keywords: localized structures
author: Arjen Doelman
author: Vivi Rottschäfer
MaRDI profile type: Publication
cites work: Q4859207
cites work: Traveling waves in the complex Ginzburg-Landau equation
cites work: Instability of quasiperiodic solutions of the Ginzburg–Landau equation
cites work: Homoclinic explosions and implosions
cites work: The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation
cites work: Relaxation oscillations including a standard chase on French ducks
cites work: The Ginzburg-Landau manifold is an attractor
cites work: Geometric singular perturbation theory for ordinary differential equations
cites work: On the validity of the Ginzburg-Landau equation
cites work: Non-linear Interaction of Morphological and Convective Instabilities During Solidification of a Dilute Binary Alloy
cites work: Tracking invariant manifolds with differential forms in singularly perturbed systems
cites work: Tracking Invariant Manifolds up to Exponentially Small Errors
cites work: Existence and stability of singular heteroclinic orbits for the Ginzburg - Landau equation
cites work: Amplitude equations for travelling wave convection
cites work: Q4859217
cites work: Coupled nonlocal complex Ginzburg-Landau equations in gasless combustion
cites work: Stability of plane wave solutions of complex Ginzburg-Landau equations
cites work: Q4030474
cites work: On the validity of mean-field amplitude equations for counterpropagating wavetrains
cites work: The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonance
cites work: A theoretical and experimental study of double-layer convection
cites work: Long-Wave Interactions in Morphological and Convective Instabilities
cites work: Sustained Resonance for a Nonlinear System with Slowly Varying Coefficients
cites work: Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
cites work: Modulation Equations for Spatially Periodic Systems: Derivation and Solutions
cites work: On the non-linear mechanics of hydrodynamic stability
cites work: Sand ripples under sea waves Part 3. Brick-pattern ripple formation
cites work: Global bifurcations and chaos. Analytical methods
full work available at URL: https://doi.org/10.1007/bf02678142
OpenAlex ID: W2131424747
description: scientific article; zbMATH DE number 1071480