Dynamical Properties and Finite-Time Hybrid Projective Synchronization Using Fractional Nonsingular Sliding Mode Surface in Fractional-Order Two-Stage Colpitts Oscillators

Figure 6

(a) Time evolution of the sliding mode surface, showing the (b) synchronization process between the two coupled chaotic oscillators starting from different initial condition and (c) synchronization errors obtained for 𝜎₁=1.25, 𝜎₂=1.00, 𝛾=1.9, 𝜀=1.175, 𝑞=0.96, 𝑘₁=𝑘₂=𝑘₃=𝑘₄=0.15, 𝜀₁=𝜀₂=𝜀₃=𝜀₄=0.5, 𝜂=𝜇=0.95, 𝑎₁=𝑎₃=2, and 𝑎₂=𝑎₄=−2.

(a)

(b)

(c)