Journal
PHYSICAL REVIEW E
Volume 80, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.80.046205
Keywords
nonlinear dynamical systems; pattern formation; road traffic
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Funding
- Institute for Collaborative Biotechnologies, U. S. Army Research Office [DAAD19-03-D004]
- Hungarian National Science Foundation [OTKA K68910]
- EPSRC [EP/E055567/1]
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A nonlinear car-following model is studied with driver reaction time delay by using state-of-the-art numerical continuations techniques. These allow us to unveil the detailed microscopic dynamics as well as to extract macroscopic properties of traffic flow. Parameter domains are determined where the uniform flow equilibrium is stable but sufficiently large excitations may trigger traffic jams. This behavior becomes more robust as the reaction time delay is increased.
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