Fast Detection of Weak Singularities in a Chaotic Signal Using Lorenz System and the Bisection Algorithm

Table 1

Lyapunov exponents in Lorenz.

No.	𝑟	Max LE	No.	𝑟	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