Page 534 - Mathematical Techniques of Fractional Order Systems

m 5 0:5

5 2:5;

d c 5 0:37; nonlinearities.

characteristics b 5 0:5; quadratic

main LEs:ð0:1357; 0:0275; 0; 2 1:5326Þ equilibria. and
& ICs:ð2 1:6; 0:9; 1; 0:1Þ ParameterðÞ:a 5 0:87; s Exponential
Properties No

1.5
4
3
1 5
2
0.5
1
0
0 y 0 x z
–1 –5
–2 –0.5
–3 –1 –10
–4
5 0 –5 –10 5 4 3 2 1 0 –1 –2 –3 –4 –1.5 5 4 3 2 1 0 –1 –2 –3 –4
z w w
1.5 1.5 4
3
1 1
2
0.5 0.5 1
0 x 0 x 0 y
–0.5 –0.5 –1 –1 –2
Attractor 4 3 2 1 0 y –1 –2 –3 –4 –1 –1.5 5 0 z –5 –10 –1.5 5 4 3 2 1 w 0 –1 –2 –3 –4 –3 –4

(Continued) y 52 by 1 xz 1 cw 2 e xy

17.2 Equations x 5 aðy 2 xÞ _ _ z 5 d _ w 52 mx _
TABLE (23)