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.DS2025
Stable and unstable spatially-periodic canards created in singular subcritical Turing bifurcations in the Brusselator system
Robert Jencks, Arjen Doelman, Tasso J. Kaper +1
In this article, we study the Brusselator partial differential equation (PDE) in the limit in which the diffusivity of the activator is much smaller than that of the inhibitor. The…