On Turing instability in two diffusely coupled systems

This work deals with Turing instability in two diffusely coupled systems. We show that for the certain type of vector fields, diffusive coupling can cause instability of otherwise stable fixed points, and produce chaos. Accompanying numerical examples are obtained using Chua´s equation. We discuss possible application of this concept of instability in modeling of biological cell assemblies, as well as some generalizations that would be interesting to attempt.