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@ARTICLE{Tordeux:836992,
      author       = {Tordeux, Antoine and Chraibi, Mohcine and Schadschneider,
                      Andreas and Seyfried, Armin},
      title        = {{I}nfluence of the number of predecessors in interaction
                      within acceleration-based flow models},
      journal      = {Journal of physics / A},
      volume       = {50},
      number       = {34},
      issn         = {1751-8121},
      address      = {Bristol},
      publisher    = {IOP Publ.},
      reportid     = {FZJ-2017-06014},
      pages        = {345102 -},
      year         = {2017},
      abstract     = {In this paper, the stability of the uniform solutions is
                      analysed for microscopic flow models in interaction with
                      $K\geqslant1$ predecessors. We calculate general conditions
                      for the linear stability on the ring geometry and explore
                      the results with particular pedestrian and car-following
                      models based on relaxation processes. The uniform solutions
                      are stable if the relaxation times are sufficiently small.
                      However the stability condition strongly depends on the type
                      of models. The analysis is focused on the relevance of the
                      number of predecessors K in the dynamics. Unexpected
                      non-monotonic relations between K and the stability are
                      presented. Classes of models for which increasing the number
                      of predecessors in interaction does not yield an improvement
                      of the stability, or for which the stability condition
                      converges as K increases (i.e. implicit finite interaction
                      range) are identified. Furthermore, we point out that
                      increasing the interaction range tends to generate
                      characteristic wavelengths in the system when unstable.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000406799800001},
      doi          = {10.1088/1751-8121/aa7fca},
      url          = {https://juser.fz-juelich.de/record/836992},
}