General conditions for Turing and wave instabilities in reaction-diffusion systems

DOI10.1007/S00285-023-01870-3OpenAlexW4318333031MaRDI QIDQ2684040

Edgardo Villar-Sepúlveda, Alan R. Champneys

Publication date: 15 February 2023

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-023-01870-3

zbMATH Keywords

Turing instabilitydiffusion-driven instabilityspatio-temporal oscillationswave instability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Eigenvalues, singular values, and eigenvectors (15A18) Bifurcations in context of PDEs (35B32)

Related Items (3)

Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation ⋮ Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems ⋮ Patterning of nonlocal transport models in biology: the impact of spatial dimension

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