Page 494 - Mathematical Techniques of Fractional Order Systems

Dynamics, Synchronization and Fractional Order Form Chapter | 16 481

(A) (B)
1 1.5
1
0.8
0.5
y 0.6 z
0
0.4
−0.5
0.2 −1
−1.5 −1 −0.5 0 0.5 1 1.5 0 0.5 1 1.5
x y
FIGURE 16.5 Poincare ´ map of system with infinite equilibria (16.10) in (A) x 2 y plane, and
(B) y 2 z plane.

(A) (B)
0.05 0.05

|X(f)| 0.025 |Y(f)| 0.025

0 0
0 0.1 0.2 0.3 0.4 0.5 0 0.1 0.2 0.3 0.4 0.5
f f
(C)
0.05

|Z(f)| 0.025

0
0 0.1 0.2 0.3 0.4 0.5
f
FIGURE 16.6 The frequency spectra of the system with infinite equilibria (A) single-sided
amplitude spectrum of x, (B) single-sided amplitude spectrum of y, and (C) single-sided ampli-
tude spectrum of z.