Noise-induced phenomena in zero-dimensional systems - Noise-induced Phenomena in the Environmental Sciences - page 70

No feedback

1

p φ

a

0.8

p φ

φ

0.6

φ

0.4

p φ

0.2

φ

0

0 0.2 0.4 0.6 0.8 1

σ

Positive feedback

p φ

b

0.25

0.2

φ

0.15

p φ

p φ

0.1

φ

0.05

φ

0.05 0.1 0.15 0.2 0.25

σ

Negative feedback

1

p φ

c

0.9

p

φ

φ

0.8

φ

p φ

0.7

φ

0.6

0.05 0.1 0.15 0.2 0.25

σ

Figure 3.9. Shapes of the probability distributions of φ as functions of the parameters

σ and α (see text for details): (a) no feedback ( b = 0 ,θ 0 = 1 . 1 , q ∗ = 1), (b) positive

feedback ( b =− 0 . 5 ,θ 0 = 1 . 25 , q ∗ = 1), and (c) negative feedback ( b = 0 . 5 ,θ 0 =

0 . 75 , q ∗ = 1).