Page 558 - Mathematical Techniques of Fractional Order Systems

Range (21,1) (0,1) (0,1) (0,1) (0,1) (0,1) (0,1) (0,1) (0,1) (0,1)

b 5 0:2

and i
; a 5 0:5 5 0:4

; P , 1 2 23:31x 2 1 28:75x 3 2 13:302875x 4 Þ; μ 5 1:07
sinð2πx k ; 1Þ , P , 0:5 , 1 2 P ,5 x i i

5 0 Otherwise 0 ,5 x i ,5 x i 0:5 ,5 x i , 0:7 .5 0:7
a 2π x i P 1 2 P i x i
1 b 2 ; a 5 0:7 x i

Map x i11 5 cosðicos 21 ðx i ÞÞ x i 1 1 modðx i ; 1Þ aπ x i x i11 5 ax i ð1 2 x i Þ; a 5 4 x i P 2 P x i 0:5 2 P 2 x i 1 2 P 0:5 2 P 1 2 x i P a sinðπx i Þ; a 5 4 x i11 5 ax 2 sinðπx i Þ; a 5 2:3 i x i 0:7 10 ð1 2 x i Þ 3
Chaotic x i11 5 mod 8 > < x i11 5 > : x i11 5 sin 8 > > > > > > > > > > > > > > < x i11 5 > > > > > > > > > > > > > > : x i11 5 4 x i11 5 μð7:86x i 8 > > > < x i11 5 > > > :

2014) 2014) 2014) 2014) 2014) 2014)
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Functions and 2014) al., (Gandomi and and and Yang, and Yang, and and Yang, and

Maps Name (Gandomi et (Saremi (Gandomi (Gandomi (Gandomi (Gandomi (Gandomi (Gandomi (Gandomi

Chaos Function Chebyshev Circl Gauss/mouse Iterative Logistic Piecewise Sine Singer Sinusoidal Tent

18.1
TABLE Number 1 2 3 4 5 6 7 8 9 10