Analytical and Numerical Study of the Projective Synchronization of the Chaotic Complex Nonlinear Systems with Uncertain Parameters and Its Applications in Secure Communication

Figure 4

Adaptive parameters estimation laws 𝛼(𝑡), 𝛾(𝑡), 𝛽(𝑡), 𝜌(𝑡), 𝜈(𝑡), and 𝜇(𝑡) of the master system (20) and slave system (21) versus 𝑡. (a) (𝛼(𝑡),𝑡) diagram, (b) (𝛾(𝑡),𝑡) diagram, (c) (𝛽(𝑡),𝑡) diagram, (d) (𝜌(𝑡),𝑡) diagram, (e) (𝜈(𝑡),𝑡) diagram, and (f) (𝜇(𝑡),𝑡) diagram.

(a)

(b)

(c)

(d)

(e)

(f)