Chaotic Characteristics and Application of Cooperative Game and Evolutionary Game

Figure 25

The Lyapunov exponents with the varies of parameters 𝑎 (𝑎∈[1,2.6]) and 𝑏 (𝑏∈[12,22])when the step length is 0.001.

(a) The Lyapunov exponents with the varies of 𝑚1, when 𝑥=0.45, 𝑦=0.2, 𝑧=0.3, 𝑎=0.1, 𝑏=0.4, 𝑐=0.62, 𝑚2=0.3, and 𝑚3=0.2

(b) The Lyapunov exponents with the varies of 𝑚2, when 𝑥=0.45, 𝑦=0.2, 𝑧=0.3, 𝑎=0.1, 𝑏=0.4, 𝑐=0.62, 𝑚1=0.2, and 𝑚3=0.2

(c) The Lyapunov exponents with the varies of 𝑚3, when 𝑥=0.45, 𝑦=0.2, 𝑧=0.3, 𝑎=0.1, 𝑏=0.4, 𝑐=0.62, 𝑚1=0.2, and 𝑚2=0.3

(d) The Lyapunov exponents with the varies of 𝑚2, when 𝑥=0.45, 𝑦=0.2, 𝑧=0.3, 𝑎=0.1, 𝑏=0.4, 𝑐=0.62, 𝑚1=2.2, and 𝑚3=0.2

(e) The Lyapunov exponents with the varies of 𝑚2, when 𝑥=0.45, 𝑦=0.2, 𝑧=0.3, 𝑎=0.1, 𝑏=0.4, 𝑐=0.62, 𝑚1=2.2, and 𝑚3=2.2

(f) The Lyapunov exponents with the varies of 𝑚2, when 𝑥=0.85, 𝑦=0.62, 𝑧=0.38, 𝑎=0.1, 𝑏=0.4, 𝑐=0.62, 𝑚1=2.2, and 𝑚3=2.2