Nonlinear Analysis on Traffic Flow Based on Catastrophe and Chaos Theory

Table 4

C-C method result and Lyapunov exponents for speed.

Detector no.	1	2	3	4	5	6	7	8
C-C
	3	7	3	4	4	4	3	3
	29	8	38	34	30	28	43	31
M1	0.876	0.332	0.86	0.472	0.554	0.237	0.417	0.869
M2	0.018	−0.081	0.032	0.037	0.044	0.123	0.143	0.041
Detector no.	9	10	11	12	13	14	15	16
C-C
	4	4	3	3	5	96	5	5
	33	31	53	55	24	1	24	22
M1	0.274	0.278	0.522	0.821	0.68	−0.003	0.311	0.076
M2	0.058	0.031	0.11	0.068	0.014	0.009	0.023	0.074
Detector no.	17	18	19	20	21	22	23	24
C-C
	6	4	89	3	4	4	3	3
	6	25	1	25	28	30	43	51
M1	0.844	0.384	0.009	0.723	0.56	0.165	0.569	0.777
M2	−0.036	0.037	0.008	0.032	0.034	0.041	0.061	0.057
Detector no.	25	26	27	28	29	—	—	—
C-C
	6	3	3	3	3	—	—	—
	15	28	39	34	40	—	—	—
M1	0.41	0.196	0.707	0.33	0.952	—	—	—
M2	0.006	0.138	0.073	0.026	0.046	—	—	—