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In this paper, a new coupled map (CM) car-following model is proposed to describe the dynamic motion of vehicles moving along a single-lane road under inter-vehicle communication (IVC). In the model, the motion of a vehicle is affected by the information of the preceding vehicles' movements. Moreover, the mechanism of the information effect is considered, which depends on the communication topology of vehicles. The theoretical analysis shows that our model could keep the traffic flow stable under some conditions. The corresponding numerical simulations confirm the correctness of the theoretical analysis. Compared with previous works on CM model, our model is more reasonable and effective in suppressing the formation of traffic congestion.