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Dual Combination Synchronization Scheme Chapter | 12 367

30 40
30
20
20
10 10
x 31 (t), x 21 (t)+x 11 (t) –10 0 x 32 (t), x 22 (t)+x 12 (t) 0

–20 –10
–20
–30 x 31 (t) –30 x 32 (t)
x 21 (t)+x 11 (t) x 22 (t)+x 12 (t)
–40 –40
0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10
t t
(A) (B)
150 25
y 31 (t)
20 y 21 (t)+y 11 (t)
100 15
x 33 (t), x 23 (t)+x 13 (t)+x 24 (t)+x 14 (t) 50 0 y 31 (t), y 21 (t)+y 11 (t) 10 5 0
–50
–100 x 33 (t) –10 –5
x 23 (t)+x 13 (t)+x 24 (t)+x 14 (t) –15
–150 –20
0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10
t t
(C) (D)
30 200
150
20
10 100
y 32 (t), y 22 (t)+y 12 (t) –10 0 y 33 (t), y 23 (t)+y 13 (t)+y 24 (t)+y 14 (t) 50 0

–20 –50 y 33 (t)
y 23 (t)+y 13 (t)+y 24 (t)+y 14 (t)
y 32 (t) –100
y 22 (t)+y 12 (t)
–30 –150
0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10
t t
(E) (F)
20
e 11 (t)
15 e 12 (t)
e 13 (t)
10 5 e 21 (t)
e ji (t), j = 1, 2, i =1, 2, 3. –10 0
e 22 (t)
e 23 (t)
–5
–15
–20
–25
–30
0 1 2 3 4 5 6
t
(G)
FIGURE 12.10 Dual combination synchronization among different dimensional chaotic systems
(12.17) (12.22) : (A) between x 31 ðtÞ and x 21 ðtÞ 1 x 11 ðtÞ; (B) between x 32 ðtÞ and x 22 ðtÞ 1 x 12 ðtÞ; (C)
between x 33 ðtÞ and x 23 ðtÞ 1 x 13 ðtÞ 1 x 24 ðtÞ 1 x 14 ðtÞ; (D) between y 31 ðtÞ and y 21 ðtÞ 1 y 11 ðtÞ; (E)
between y 32 ðtÞ and y 22 ðtÞ 1 y 12 ðtÞ; (F) between y 33 ðtÞ and y 23 ðtÞ 1 y 13 ðtÞ 1 y 24 ðtÞ 1 y 14 ðtÞ; (G) The
evaluation of the error functions e ji ðtÞ; j 5 1; 2; i 5 1; 2; 3at α 5 0:98.