Noise-induced pattern formation - Noise-induced Phenomena in the Environmental Sciences - page 223

p d f p d f

p d f

1 1

60

30

0.0 φ

2 φ 2 φ

0.02

2 2

S S S

1

150 150

0.5

3 k 3 k 3 k 1 2 1 2 1 2

Figure 5.38. Example of patterns resulting from the numerical simulation of model
( 5.73 ) under the Stratonovich interpretation. The boundary conditions are periodic.
The columns refer to 0, 50, and 100 time units. The parameters are a = 1, c = 1,

k 0 = 1, D = 40, and s gn = 10.

p d f p d f

p d f

0.7 0.7

60

30

0.0 φ

2 φ 2 φ

0.02

2 2

S S S

1 350 350

0.5

3 k 3 k

3 k

1 2 1 2 1 2

Figure 5.39. The same as Fig. 5.38 , but under the Ito interpretation.