Katsuya Hasebe

TL;DR: In this model, the legal velocity function is introduced, which is a function of the headway of the preceding vehicle, and the evolution of traffic congestion is observed with the development of time.

TL;DR: In this paper, the authors present experimental evidence that the emergence of a traffic jam is a collective phenomenon like "dynamical" phase transitions and pattern formation, and show that a bottleneck is only a trigger and not the essential origin of traffic jam.

TL;DR: In this paper, the optimal velocity model with explicit delay is analyzed and the properties of congestion and the delay time of car motion are investigated by analytical and numerical methods, and it is shown that the small explicit delay time has almost no effects.

TL;DR: The Car Following Model with Optimal Velocity (Optimal Velocity Model) as discussed by the authors is a successful traffic model in reproducing the characteristic features of observed traffic flow data, and the transition from free flow to congested flow occurs spontaneously by the collective motion of vehicles, which obey to the same dynamical equation.

TL;DR: The characteristic properties of the traffic congestion in the proposed dynamical model are studied, especially the organization process and the stability of the structure of congestion, which turns out to be well described by plotting motions of vehicles in the phase space of velocity and headway.