Phase Synchronization in Coupled Sprott Chaotic Systems Presented by Fractional Differential Equations

Figure 4

Phase synchronization for coupled chaotic Sprott-R presented by FDEs. (a) shows the solution 𝑥₁ as derive (Series 1) and 𝑦₁ as response (Series 2) for 𝛼=𝛽=1, and (b) shows the time dependent difference between derive and response. (c) shows the solution 𝑥₁ as derive (Series 1) and 𝑦₁ as response (Series 2) for 𝛼=𝛽=0.96, and (d) shows the time dependent difference between derive and response. (e) shows the solution 𝑥₂ as derive (Series 1) and 𝑦₂ as response (Series 2) for 𝛼=𝛽=0.96, and (f) shows the constant difference between derive and response.

(a)

(b)

(c)

(d)

(e)

(f)