HW \#4: Reproduce Fig. 2 in the lecture note by M. Cross Figure 2: Solid curves: plots of the maximum real part of the growth rate, maxiRe(iq) versus wave number q, for infinitesimal perturbations of the uniform state Eq. (25) of the Brusselator model Eq. (23), for the choice of parameters Eq. (24). Three curves are plotted corresponding to a b-parameter below instability (b=0.6bc1.40), to the critical value (b=bc2.34), and above instability (b=1.4bc3.28). The critical wave number qc0.435 is identified as the wave number for which the maximum real part of the growth rate first becomes zero. The wave number corresponding to the fastest growing mode increases slowly with increasing b. The dotted line is the imaginary part of the eigenvalue that has the maximum real part for b=bc. The imaginary part for the other b values are not shown since they are nearly identical