Study on a modified coupled map car following model and its dynamics

To suppress traffic jam, we proposed a new modified coupled map car following model with proportional velocity difference factor. In this new kind of model, the full velocity difference value between two successive vehicles was incorporated into following vehicle's acceleration running equation. By taking the small velocity disturbance of preceding vehicle as error input, the system stability dynamics was carefully studied based on discrete control theory, and the model's stability condition was obtained. The simulation results show that the temporal behavior of the proposed model was superior to KKH model, and the convergence characteristics was better than Ge's model, which fully supported the theoretical analysis.