Interaction of Turing and Hopf Modes in the Superdiffusive Brusselator Model Near a Codimension Two Bifurcation Point
Spatiotemporal patterns near a codimension-2 Turing-Hopf point of the one-dimensional superdiffusive Brusselator model are analyzed. The superdiffusive Brusselator model differs from its regular counterpart in that the Laplacian operator of the regular model is replaced by /|ξ|, 1 < < 2, an integro-differential operator that reflects the nonlocal behavior of superdiffusion. The order of the operator, , is a measure of the rate...