The dynamics of localized spot patterns for reaction-diffusion systems on the sphere

From MaRDI portal
Publication:2807472

DOI10.1088/0951-7715/29/3/766zbMath1338.35248arXiv1411.3386OpenAlexW2963799240MaRDI QIDQ2807472

Michael J. Ward, Philippe H. Trinh

Publication date: 25 May 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3386




Related Items

Oscillatory translational instabilities of spot patterns in the Schnakenberg system on general 2D domainsPlatonic solids and symmetric solutions of the \(N\)-vortex problem on the sphereSpots, traps, and patches: asymptotic analysis of localized solutions to some linear and nonlinear diffusive systemsInfluence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifoldsThe stability and slow dynamics of spot patterns in the 2D Brusselator model: the effect of open systems and heterogeneitiesAnomalous Scaling of Hopf Bifurcation Thresholds for the Stability of Localized Spot Patterns for Reaction-Diffusion Systems in Two DimensionsLocalized Spot Patterns on the Sphere for Reaction-Diffusion Systems: Theory and Open ProblemsFourth-Order Time-Stepping For Stiff PDEs On The SphereThe Stability and Slow Dynamics of Localized Spot Patterns for the 3-D Schnakenberg Reaction-Diffusion ModelFast and accurate algorithms for the computation of spherically symmetric nonlocal diffusion operators on latticesA spectral method for nonlocal diffusion operators on the sphereTuring pattern formation on the sphere for a morphochemical reaction-diffusion model for electrodepositionRefined stability thresholds for localized spot patterns for the Brusselator model inNon-axially symmetric solutions of a mean field equation on \(\mathbb{S}^2\)Spot patterns of the Schnakenberg reaction–diffusion system on a curved torusWeakly Nonlinear Analysis of Peanut-Shaped Deformations for Localized Spots of Singularly Perturbed Reaction-Diffusion SystemsAnalysis of Spot Patterns on a Coordinate-Invariant Model for Vegetation on a Curved TerrainAn Asymptotic Analysis of Localized Three-Dimensional Spot Patterns for the Gierer--Meinhardt Model: Existence, Linear Stability, and Slow DynamicsSpot Dynamics of a Reaction-Diffusion System on the Surface of a Torus


Uses Software



This page was built for publication: The dynamics of localized spot patterns for reaction-diffusion systems on the sphere