A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions

Figure 6

Reduced order synchronization—CMHPS between 4-dimensional complex hyperchaotic Dadras drive system (29) (blue line) and 3-dimensional complex chaotic Lorenz response system (31) (red line) with the controller (36).

(a) 𝑦^𝑟₁ synchronizes 𝑥^𝑖₁

(b) 𝑦^𝑖₁ antisynchronizes 𝑥^𝑟₁

(c) 𝑦^𝑟₂ antisynchronizes 𝑥^𝑖₂

(d) 𝑦^𝑖₂ synchronizes 𝑥^𝑟₂

(e) 𝑦₃ antisynchronizes 𝑥₄