Nonlinear Analysis on Traffic Flow Based on Catastrophe and Chaos Theory

Table 3

C-C method result and Lyapunov exponents for flow.

Detectors no.	1	2	3	4	5	6	7	8
C-C
	4	6	4	2	4	3	3	4
	36	22	35	36	32	40	42	36
M1	0.461	0.546	0.208	0.807	0.552	0.811	1.038	0.315
M2	0.013	0.009	0.022	0.015	0.041	0.068	0.068	0.032
Detectors no.	9	10	11	12	13	14	15	16
C-C
	3	3	3	4	4	4	4	4
	35	37	34	24	36	30	31	38
M1	0.804	0.492	0.767	0.398	0.323	0.244	0.29	0.339
M2	0.019	0.028	0.049	0.065	0.018	0.027	0.032	0.023
Detectors no.	17	18	19	20	21	22	23	24
C-C
	8	4	3	4	3	3	4	3
	13	32	47	33	34	34	31	36
M1	0.117	0.139	0.696	0.287	0.4	0.592	0.177	0.609
M2	0.007	0.018	0.031	0.019	0.022	0.025	0.032	0.037
Detectors no.	25	26	27	28	29	—	—	—
C-C
	4	49	4	2	3	—	—	—
	37	2	31	32	35	—	—	—
M1	0.498	0.008	0.261	0.495	0.282	—	—	—
M2	0.012	−0.01	0.023	0.027	0.029	—	—	—