Nonlinear and nonlocal dynamics of spatially extended systems: Stationary states, bifurcations and stability
type: Item
instance of: scholarly article
title: Nonlinear and nonlocal dynamics of spatially extended systems: Stationary states, bifurcations and stability
zbMATH Open document ID: 0644.45004
DOI: 10.1016/0167-2789(88)90024-3
author: F. J. Elmer
published in: Physica D
publication date: 1988-01-01T00:00:00Z
review text: The author investigates spatially extended systems with nonlocal dynamics in the neighbourhood of a stationary and uniform state. Using a multiple- scale perturbation theory, he establishes an amplitude equation and shows that the uniform state can bifurcate supercritically into a stationary state of a spatial amplitude-modulated fast oscillation. A numerical example in a particular case is also given.
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 78A55
zbMATH DE Number: 4050255
zbMATH Keywords: stability
zbMATH Keywords: nonlocal dynamics
zbMATH Keywords: stationary and uniform state
zbMATH Keywords: multiple- scale perturbation theory
zbMATH Keywords: numerical example
reviewed by: C. Constanda
MaRDI profile type: Publication
full work available at URL: 0167-2789(88)90024-3
OpenAlex ID: W1969384672
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description: scientific article; zbMATH DE number 4050255