This title appears in the Scientific Report :
2014
Influence of the interaction range on the stability of following models
Influence of the interaction range on the stability of following models
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-follow...
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Personal Name(s): | Tordeux, Antoine |
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Chraibi, Mohcine / Seyfried, Armin | |
Contributing Institute: |
Jülich Supercomputing Center; JSC |
Published in: |
Proceeding of the Eighth International Workshop on Agents in Traffic and Transportation |
Imprint: |
2014
|
Physical Description: |
10 p. |
Conference: | Eighth International Workshop on Agents in Traffic and Transportation, Paris (France), 2014-05-05 - 2014-05-06 |
Document Type: |
Contribution to a book Contribution to a conference proceedings |
Research Program: |
Computational Science and Mathematical Methods |
Publikationsportal JuSER |
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. |