Global Attractivity of a Family of Max-Type Difference Equations

Figure 5

𝑥^∗=10/19≈0.5263.

(a) Initial values 𝑥₀=0.1, 𝑥₁=0.3, 𝑥₂=0.5

(b) Initial values 𝑥₀=0.3, 𝑥₁=0.7, 𝑥₂=1.0

(c) Initial values 𝑥₀=0.8, 𝑥₁=0.3, 𝑥₂=0.1

(d) Initial values 𝑥₀=1.1, 𝑥₁=0.8, 𝑥₂=0.6