2 papers
math.DS2026
Singular Turing bifurcations and spatial canard solutions in nonlinear reaction-diffusion systems
Robert Jencks, Tasso J. Kaper, Theodore Vo
We study a general class of nonlinear reaction-diffusion equations that model pattern-forming systems. The class includes the Gierer-Meinhardt PDE, Brusselator model, and van der P…
math.DS2024
Les Canards de Turing
Theodore Vo, Arjen Doelman, Tasso J. Kaper
In this article, we study a system of reaction-diffusion equations in which the diffusivities are widely separated. We report on the discovery of families of spatially periodic can…