Projective Synchronization of N-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control

Figure 1

Synchronization errors between the master system (1.2) and the slave system (3.1) with 𝑎=1, 𝑏=0.1, 𝑐=1.2, 𝑞₁=0.88, 𝑞₂=0.98, 𝑞₃=0.96, 𝑎=0.5, 𝑥(0)=3, 𝑦(0)=4, 𝑧(0)=1, 𝑥_𝑠(0)=0.5, 𝑦_𝑠(0)=0, 𝑧_𝑠(0)=2.5.

(a) Chaotic attractors of systems (1.2) and(3.1)

(b) Errors between systems (1.2) and(3.1)

(c) Time evolutions of 𝑥 and 𝑥_𝑠

(d) Time evolutions of 𝑦 and 𝑦_𝑠

(e) Time evolutions of 𝑧 and 𝑧_𝑠