Patterns on growing square domains via mode interactions
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Publication:3520275
DOI10.1080/14689360801945327zbMath1151.65069OpenAlexW2150994047MaRDI QIDQ3520275
Martin Golubitsky, Adela N. Comanici
Publication date: 18 August 2008
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14689360801945327
Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Bifurcations in context of PDEs (35B32)
Related Items (4)
Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds ⋮ Turing conditions for pattern forming systems on evolving manifolds ⋮ Global existence for semilinear reaction-diffusion systems on evolving domains ⋮ Global existence of solutions to reaction diffusion systems with mass transport type boundary conditions on an evolving domain
Cites Work
- Reaction and diffusion on growing domains: scenarios for robust pattern formation
- A moving grid finite element method applied to a model biological pattern generator
- Mode-doubling and tripling in reaction-diffusion patterns on growing domains: a piecewise linear model
- The effect of growth and curvature on pattern formation
- A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains
- Hidden symmetries of parametrically forced waves
- The chemical basis of morphogenesis
- NEURAL EXCITABILITY, SPIKING AND BURSTING
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