Figure 2.

Sequential pattern formation in growing domains. (a) Kymographs of $S(x,t)$ for increasing system size. Figures show spontaneous pattern formation via symmetry breaking of the homogeneous state above a critical system size $L^{*}$. As we simulate larger systems (Equations (1) and (2)), multiple patterns emerge in a size-dependent manner. Simulations were done as described in Figure 1b. (b) Number of patterns as a function of system size, for both the saturated and unsaturated regimes of the S-P model. Parameter values for (a,b) are the same as Figure 1b,c, respectively. Small amplitude random (uniform distribution) initial conditions for S and P were used for (b).