Turing patterns with O(3) symmetry

DOI10.1016/S0167-2789(03)00286-0zbMath1045.37050MaRDI QIDQ596343

T. K. Callahan

Publication date: 10 August 2004

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

chemical reaction-diffusion systemTuring instabilityBrusselator modelcenter manifold reductionsteady-state bifurcationPattern formationSpherical symmetry

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Developmental biology, pattern formation (92C15) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Geometric theory, characteristics, transformations in context of PDEs (35A30) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (6)

Spots, traps, and patches: asymptotic analysis of localized solutions to some linear and nonlinear diffusive systems ⋮ Localized Spot Patterns on the Sphere for Reaction-Diffusion Systems: Theory and Open Problems ⋮ Numerical bifurcation analysis of a 3D Turing-type reaction-diffusion model ⋮ Turing pattern formation on the sphere for a morphochemical reaction-diffusion model for electrodeposition ⋮ Weakly Nonlinear Analysis of Peanut-Shaped Deformations for Localized Spots of Singularly Perturbed Reaction-Diffusion Systems ⋮ The Stability of Localized Spot Patterns for the Brusselator on the Sphere

Cites Work

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• The chemical basis of morphogenesis
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