Pattern formation in a simple chemical system with general orders of autocatalysis and decay. I: Stability analysis
type: Item
instance of: scholarly article
title: Pattern formation in a simple chemical system with general orders of autocatalysis and decay. I: Stability analysis
zbMATH Open document ID: 1027.80010
DOI: 10.1016/S0167-2789(03)00065-4
author: J. A. Leach
author: Juncheng Wei
published in: Physica D
publication date: 2003-06-01T00:00:00Z
Mathematics Subject Classification ID: 80A30
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 1921741
zbMATH Keywords: stable stationary pattern
zbMATH Keywords: permanent form travelling wave solution
zbMATH Keywords: pulse solution
MaRDI profile type: Publication
cites work: Q3738973
cites work: On stability and Hopf bifurcations for chemotaxis systems
cites work: Slowly modulated two-pulse solutions in the Gray-Scott model. I: Asymptotic construction and stability
cites work: Slowly modulated two-pulse solutions in the Gray--Scott model. II: Geometric theory, bifurcations, and splitting dynamics
cites work: Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach
cites work: Pattern formation in the one-dimensional Gray - Scott model
cites work: Stability analysis of Turing patterns generated by the Schnakenberg model
cites work: Acoustic Radiation Properties of an Elastic Plate with an Infinite Baffle and Cavity
cites work: The Evolution of Travelling Waves in Fractional Order Autocatalysis with Decay. I. Permanent Form Travelling Waves
cites work: The Evolution of Travelling Waves in Fractional Order Autocatalysis with Decay. II. The Initial Boundary Value Problem
cites work: The development of travelling waves in a simple isothermal chemical system II. Cubic autocatalysis with quadratic and linear decay
cites work: Reaction-diffusion waves in an isothermal chemical system with general orders of autocatalysis and spatial dimension
cites work: The development of travelling waves in a simple isothermal chemical system - I. Quadratic autocatalysis with linear decay
cites work: Traveling spike autosolitons in the Gray-Scott model
cites work: Q3994920
cites work: The development of travelling waves in a simple isothermal chemical system with general orders of autocatalysis and decay
cites work: A skeleton structure of self-replicating dynamics
cites work: The chemical basis of morphogenesis
cites work: Asymmetric spike patterns for the one-dimensional Gierer–Meinhardt model: equilibria and stability
cites work: The Existence and Stability of Asymmetric Spike Patterns for the Schnakenberg Model
cites work: Pattern formations in two-dimensional Gray-Scott model: Existence of single-spot solutions and their stability
cites work: On single interior spike solutions of the Gierer–Meinhardt system: uniqueness and spectrum estimates
cites work: Existence, stability and metastability of point condensation patterns generated by the Gray-Scott system
cites work: On a hypercycle system with nonlinear rate
cites work: Critical threshold and stability of cluster solutions for large reaction-diffusion systems in \(\mathbb{R}^1\)
cites work: On a two-dimensional reaction-diffusion system with hypercyclical structure
cites work: A Nonlocal Eigenvalue Problem and the Stability of Spikes for Reaction–Diffusion Systems with Fractional Reaction Rates
full work available at URL: s0167-2789(03)00065-4
OpenAlex ID: W2059886797
description: scientific article; zbMATH DE number 1921741