Research Article
Fast Detection of Weak Singularities in a Chaotic Signal Using Lorenz System and the Bisection Algorithm
Table 1
Lyapunov exponents in Lorenz.
| No. | | Max LE | No. | | Max LE |
| 1 | 20 |
−0.15
|
16
|
24.4
|
0.782
| 2 | 20.4 |
−0.141
|
17
|
24.8
|
0.82
| 3 | 20.8 |
−0.127
|
18
|
25.2
|
0.833
| 4 | 21.2 |
−0.114
|
19
|
25.6
|
0.836
| 5 | 21.6 |
−0.099
|
20
|
26
|
0.844
| 6 | 22 |
−0.087
|
21
|
26.4
|
0.857
| 7 | 22.4 |
−0.074
|
22
|
26.8
|
0.873
| 8 | 22.8 |
−0.06
|
23
|
27.2
|
0.881
| 9 | 23.2 |
−0.047
|
24
|
27.6
|
0.892
| 10 | 23.6 |
−0.033
|
25
|
28
|
0.907
| 11 | 23.8 |
−0.027
|
26
|
28.4
|
0.909
| 12 | 24 |
−0.018
|
27
|
28.8
|
0.922
| 13 | 24.05 |
−0.014
|
28
|
29.2
|
0.923
| 14 | 24.1 |
0.736
|
29
|
29.6
|
0.939
| 15 | 24.2 |
0.758
|
30
|
30
|
0.945
|
|
|