Page 298 - Mathematical Techniques of Fractional Order Systems
P. 298
Sliding Mode Stabilization and Synchronization Chapter | 10 287
i 5 1; 2, u i 5 u ri , u i AR for i 5 3. In order to set the system in chaotic regime
the constant values must be a 1 5 35, a 2 5 3, and a 3 5 28 taking into account
that the fractional order is α 5 0:95 and the following initial condition
T
zð0Þ 5 ½0:310:2j; 0:110:3j; 20:1 so the following phase portraits are
obtained for the real and imaginary parts, respectively, as shown in
Figs. 10.1 and 10.2.
FIGURE 10.1 Phase portrait of the real part of the Chen chaotic system.
FIGURE 10.2 Phase portrait of the imaginary part of the Chen chaotic system.
