HW#8 SOLUTIONS

1(a)
Correspondence # Line in C++ code Line in Pearson Comment




1 23 72 the diffusion coefficients are ...
2 24 70 The system size is 2.5 by 2.5
3 25 107 The spatial mesh consists of 256 by 256 grid points.
4 26 113-114 20x20 square perturbed
5 29,30, 114-119 68 k is the dimensionless rate constant, and F is the dimensionless feed rate
6 156-161 113 Initially entire system was placed in the trivial state ...
7 166-167 116 perturbation of central square
8 174-175 117 random noise added (oops: I added 10%, not 1%)
9 199-200 106 discretization of the diffusion operator
10 203-204 66-67 Equations of motion
11 203-204 104 Euler's method
12 32-45, 179, 208 72-73 The boundary conditions are periodic.

1(b)
See your results here and here
2(a)
The toad is a period-2 structure (or "blinker"):
2(b) This is a period-3 structure: repeats after 3 timesteps:

3. Your thoughts to be summarized in class.