Page 683 - Mathematical Techniques of Fractional Order Systems
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654 Mathematical Techniques of Fractional Order Systems
25
20
15
z t 10
10 y t
5
0
5 –5
–10
0 –15
–10 –5 0 5 10 15
x t
FIGURE 21.17 Simulation result of all fractional order Ro ¨ssler’s system (21.21) in state space
for parameters (a 5 2.5, b 5 5, c 5 4), orders p 1 5 p 2 5 p 3 5 0.95 and initial conditions (x 0 5 1,
y 0 5 1, z 0 5 1).
FIGURE 21.18 Simulation result of all fractional order Ro ¨ssler’s system (21.21) variables ver-
sus time for parameters (a 5 2.5, b 5 5, c 5 4), orders p 1 5 p 2 5 p 3 5 0.95 and initial conditions
(x 0 5 1, y 0 5 1, z 0 5 1).
FIGURE 21.19 Simulation result of recurrence diagram of the fractional order Ro ¨ssler’s sys-
tem (21.21) in i j plane for parameters (a 5 2.5, b 5 5, c 5 4), orders p 1 5 p 2 5 p 3 5 0.95 and
initial conditions (x 0 5 1, y 0 5 1, z 0 5 1).
