A new coupled map car-following model considering the synergy effect of ahead-backward vehicles

摘要

Based on the pioneer work of Konishi et al., with consideration of the influence of the synergy effect of ahead-backward vehicles on the traffic flow, we develop a new coupled map car-following model on single road. By applying the control theory, the stability condition of our model is derived. To check the validity of the present theoretical scheme, the numerical simulation is carried out for our model, and it confirms the correctness of the theoretical analysis.