Coupling leads to chaos (Q2643107)

From the abstract: The main goal of this paper is to prove analytically the existence of strange attractors in a family of vector fields consisting of two Brusselators linearly coupled by diffusion. We will show that such a family contains a generic unfolding of a 4-dimensional nilpotent singularity of codimension \(4\). On the other hand, we will prove that in any generic unfolding \(X_\mu\) of an \(n\)-dimensional nilpotent singularity of codimension \(n\) there are bifurcation curves of \((n-1)\)-dimensional nilpotent singularities of codimension \(n-1\) which are in turn generically unfolded by \(X_\mu\). Arguments conclude recalling that any generic unfolding of the \(3\)-dimensional nilpotent singularity of codimension \(3\) exhibits strange attractors.