Table 1.

List of the various parameter values studied in our systematic study

Name	Kinetics	Parameters	$T^{\ast }$	Static behavior
S1	Schnakenberg	$a=0.05,b=1.5,{\delta }_2=100$	5000	Spots
S2	Schnakenberg	$a=0.05,b=1.6,{\delta }_2=20$	60,000	Labyrinthine
GM1	Gierer–Meinhardt	$a=0.8,b=5.5,{\delta }_2=100$	13,000	Large spots
GM2	Gierer–Meinhardt	$a=1.5,b=3,{\delta }_2=300$	13,000	Small spots
FHN1	FitzHugh–Nagumo	$a=0.8,b=0.4,{\delta }_2=100$	2000	Spots
FHN2	FitzHugh–Nagumo	$a=0.6,b=0.99,{\delta }_2=50$	8000	Labyrinthine

In all cases, we took ${\delta }_1=1$ and for FitzHugh–Nagumo kinetics took $c=1$ and $d=0.6$. For Schnakenberg and Gierer–Meinhardt on both domains, and FitzHugh–Nagumo on the ellipsoidal domain, the initial manifold was always taken with $r_0=10$ and the growth was to a maximum of $r_T=4r_0$, whereas for FitzHugh–Nagumo on the planar ellipse we used $r_0=25$ and the growth to a maximum of $r_T=4r_0$