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We analyze the dynamics of the classical optimal velocity model for the case of road works. We introduce a new viewpoint, the so-called rotation solutions, which in case of an additional symmetry leads to Ponies-on-a-Merry-Go-Round-solutions (POMs) D. G. Aronson, M. Golubitsky, and J. Mallet-Paret, Nonlinearity, 4 (1991), pp. 903–910. This approach, which is also useful for the case without road works, opens the possibility of analytical and numerical bifurcation studies, which show a wide variety in the possible dynamics of this very simple model. In addition, we mimic different measurement approaches and recover the famous inverse Greek structure in the fundamental diagram.
Seidel et al. (Thu,) studied this question.