Influence of the interaction range on the stability of following models

Tordeux, Antoine; Seyfried, Armin; Chraibi, Mohcine

Contribution to a conference proceedings/Contribution to a book

FZJ-2014-03485

Influence of the interaction range on the stability of following models

Tordeux, A.FZJ* ; Chraibi, M.FZJ* ; Seyfried, A.FZJ*

2014

Proceeding of the Eighth International Workshop on Agents in Traffic and Transportation
Eighth International Workshop on Agents in Traffic and Transportation, ATT @ AAMAS-2014, Paris, France, 5 May 2014 - 6 May 2014 10 p. (2014)

Abstract: One proposes to analyze the stability of the uniform solutions of microscopic second order following models with $K\ge1$ predecessors in interaction. We calculate general conditions for that the linear stability occurs, and explore the results with particular distance based pedestrian and car-following models. Non linear relations between $K$ and the stability are established.

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