Page 300 - Mathematical Techniques of Fractional Order Systems
P. 300
Sliding Mode Stabilization and Synchronization Chapter | 10 289
FIGURE 10.4 Phase portrait of the imaginary part of the chaotic Lorenz system.
FIGURE 10.5 Phase portrait for the real part of the complex hyperchaotic system.
u i AC for i 5 1; 2, u i 5 u ri , u i AR for i 5 3; 4. Then in order to set the system
in hyperchaotic regime the constants must be set as c 1 5 14, c 2 5 5,
c 3 5 40, and c 4 5 13 with α 5 0:99 and the following phase portraits
are obtained for the real and imaginary parts, respectively, in Figs. 10.5
and 10.6.