Figure 10. Schematic bifurcation diagram for patterns on a hexagonal lattice.

(A) Bifurcation at low frequencies in equation (8) for the case where and (after [32], figure 5.8). , and Blue curves represent stable solutions and red curves represent unstable solutions. The bifurcation parameter is along the axis and the magnitude of the component of vertical stripe pattern () is along the -axis. (B) Diagram for high frequency patterns where by symmetry. Because , only stripes of various orientations are stable.