A new geometrical criterion for the transition to spatio-temporal chaos (STC) arising in the
Gray–Scott model is presented. This is based on the inter-relationship of global bifurcating …

The dynamics and stability of multispot patterns to the Gray–Scott (GS) reaction-diffusion
model in a two-dimensional domain is studied in the singularly perturbed limit of small …

The existence, stability, and pulse-splitting behavior of spike patterns in the one-dimensional
Gray–Scott model on a finite domain is analyzed in the semi-strong spike-interaction regime …

The dynamical behavior of multi-spot solutions in a two-dimensional domain Ω is analyzed
for the two-component Schnakenburg reaction–diffusion model in the singularly perturbed …

In a singularly perturbed limit of small diffusivity ɛ of one of the two chemical species,
equilibrium spike solutions to the Gray–Scott (GS) model on a bounded one‐dimensional …

The dynamics and instability mechanisms of both one-and two-spike solutions to the Gierer--
Meinhardt (GM) and Gray--Scott (GS) models are analyzed on a bounded one-dimensional …

The dynamics and oscillatory instabilities of multi-spike solutions to the one-dimensional
Gray-Scott reaction–diffusion system on a finite domain are studied in a particular parameter …

In our previous papers, we have shown by computer simulations that a Sierpinski gasket
pattern appears in a Bonhoeffer–van der Pol type reaction-diffusion system. In this paper, we …

Two different types of instabilities of equilibrium stripe and ring solutions are studied for the
singularly perturbed two‐component Gray–Scott (GS) model in a two‐dimensional domain …

Certain two-component reaction–diffusion systems on a finite interval are known to possess
mesa (box-like) steady-state patterns in the singularly perturbed limit of small diffusivity for …