Turing conditions for pattern forming systems on evolving manifolds
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Publication:2223250
DOI10.1007/s00285-021-01552-yzbMath1456.35029arXiv1904.09683OpenAlexW3125079253WikidataQ113905594 ScholiaQ113905594MaRDI QIDQ2223250
Andrew L. Krause, Václav Klika, Robert A. van Gorder
Publication date: 28 January 2021
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.09683
Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Developmental biology, pattern formation (92C15) Pattern formations in context of PDEs (35B36)
Related Items (15)
Control of diffusion-driven pattern formation behind a wave of competency ⋮ Turing and wave instabilities in hyperbolic reaction-diffusion systems: the role of second-order time derivatives and cross-diffusion terms on pattern formation ⋮ Boundary conditions cause different generic bifurcation structures in Turing systems ⋮ Bespoke Turing systems ⋮ Spatio-temporal patterns of non-autonomous systems on hypergraphs: Turing and Benjamin–Feir mechanisms ⋮ Liouville-Green approximation for linearly coupled systems: asymptotic analysis with applications to reaction-diffusion systems ⋮ Growing patterns ⋮ Concentration-dependent domain evolution in reaction-diffusion systems ⋮ The design principles of discrete Turing patterning systems ⋮ Reaction-diffusion models for morphological patterning of hESCs ⋮ Turing and Benjamin–Feir instability mechanisms in non-autonomous systems ⋮ Isolating patterns in open reaction-diffusion systems ⋮ Cross-diffusion effects on stationary pattern formation in the Fitzhugh-Nagumo model ⋮ Strain and Defects in Oblique Stripe Growth ⋮ Turing instability and pattern formation on directed networks
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