Pattern formation of biological structures involves the arrangement of different types of cells in an ordered spatial configuration. Patterning is thought to involve the spatial organization of molecular pre-patterns that precede and drive subsequent cell differentiation and coinciding morphogenesis. These molecular prepatterns are often, although not exclusively, organized through Turing...
Motivated by the rich variety of complex patterns observed on the surface of fluid layers that are vibrated at multiple frequencies, we investigate the effect of such resonant forcing on systems undergoing a Hopf bifurcation to spatially homogeneous oscillations. We use an extension of the complex Ginzburg-Landau equation (CGLE) that...