Reaction-diffusion systems implemented as dynamical processes on networks have recently
renewed the interest in their self-organized collective patterns known as Turing patterns. We …

Besides classical equilibrium structures, such as solid state crystals, nature exhibits a
number of dissipative structures in systems kept far from equilibrium by permanent driving …

Turing pattern provides a paradigm of non-equilibrium self-organization in reaction-diffusion
systems. On the basis of many mathematical studies, it has been proposed that various …

The process of pattern formation for a multispecies model anchored on a time varying
network is studied. A nonhomogeneous perturbation superposed to an homogeneous stable …

Patterns in nature are fascinating both aesthetically and scientifically. Alan Turing's
celebrated reaction–diffusion model of pattern formation from the 1950s has been extended …

The Turing instability is one of the most commonly studied mechanisms leading to pattern
formation in reaction–diffusion systems, yet there are still many open questions on the …

The reaction-diffusion model presented by Alan Turing has recently been supported by
experimental data and accepted by most biologists. However, scientists have recognized …

Turing patterns are commonly understood as specific instabilities of a spatially
homogeneous steady state, resulting from activator–inhibitor interaction destabilized by …

Motivated by recent observations in biological cells, we study Turing patterns in bounded
regions where the nonlinear chemical reactions occur on the boundary and where reagent …

First proposed by Turing in 1952, the eponymous Turing instability and Turing pattern
remain key tools for the modern study of diffusion-driven pattern formation. In spatially …