Research Article
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 | — | — | — |
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