A mathematical mechanism for instabilities in stripe formation on growing domains
type: Item
instance of: scholarly article
title: A mathematical mechanism for instabilities in stripe formation on growing domains
zbMATH Open document ID: 1228.92010
author: Yasumasa Nishiura
author: Kei-ichi Ueda
published in: Physica D
publication date: 2012-01-04T00:00:00Z
full work available at URL: http://hdl.handle.net/2115/48153
Mathematics Subject Classification ID: 92C15
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 5994493
zbMATH Keywords: stripe splitting
zbMATH Keywords: reaction-diffusion system
MaRDI profile type: Publication
OpenAlex ID: W2065699600
cites work: The chemical basis of morphogenesis
cites work: Reliable segmentation by successive bifurcation
cites work: Reaction and diffusion on growing domains: scenarios for robust pattern formation
cites work: Mode-doubling and tripling in reaction-diffusion patterns on growing domains: a piecewise linear model
cites work: Pattern formation in reaction-diffusion models with nonuniform domain growth
cites work: The effect of growth and curvature on pattern formation
cites work: Interactions between pattern formation and domain growth
cites work: Mixed-mode pattern in \textit{Doublefoot} mutant mouse limb -- Turing reaction-diffusion model on a growing domain during limb development
cites work: A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves
cites work: Mode transitions in a model reaction-diffusion system driven by domain growth and noise
cites work: Slowly modulated two-pulse solutions in the Gray-Scott model. I: Asymptotic construction and stability
cites work: Pattern formation in the one-dimensional Gray - Scott model
cites work: Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach
cites work: Slowly modulated two-pulse solutions in the Gray--Scott model. II: Geometric theory, bifurcations, and splitting dynamics
cites work: Large stable pulse solutions in reaction-diffusion equations
cites work: A stability index analysis of 1-D patterns of the Gray-Scott model
cites work: The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime
cites work: The Existence and Stability of Asymmetric Spike Patterns for the Schnakenberg Model
cites work: Traveling spike autosolitons in the Gray-Scott model
cites work: Stability of the Static Spike Autosolitons in the Gray--Scott Model
cites work: Static spike autosolitons in the Gray-Scott model.
cites work: Multi-pulse evolution and space-time chaos in dissipative systems
cites work: A skeleton structure of self-replicating dynamics
cites work: \(2^n\)-splitting or edge-splitting? A manner of splitting in dissipative systems
cites work: Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system
cites work: EXPERIMENTAL STUDY OF STATIONARY TURING PATTERNS AND THEIR INTERACTION WITH TRAVELING WAVES IN A CHEMICAL SYSTEM
cites work: Q5287558
cites work: The motion of weakly interacting pulses in reaction-diffusion systems
cites work: Q5110819
cites work: Geometric theory of semilinear parabolic equations
cites work: Q5674306
DOI: 10.1016/J.PHYSD.2011.09.016
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description: scientific article; zbMATH DE number 5994493