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Exciting traffic jams: Nonlinear phenomena behind traffic jam formation on highways Gbor Orosz,1,* R. Eddie Wilson,2,
 

Summary: Exciting traffic jams: Nonlinear phenomena behind traffic jam formation on highways
Gábor Orosz,1,* R. Eddie Wilson,2,
Róbert Szalai,2,
and Gábor Stépán3,§
1
Department of Mechanical Engineering, University of California, Santa Barbara, California 93106, USA
2
Department of Engineering Mathematics, University of Bristol, Bristol BS8 1TR, United Kingdom
3
Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest H-1521, Hungary
Received 26 May 2009; published 6 October 2009
A nonlinear car-following model is studied with driver reaction time delay by using state-of-the-art numeri-
cal 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.
DOI: 10.1103/PhysRevE.80.046205 PACS number s : 05.45. a, 45.70.Vn, 47.54. r, 89.40.Bb
I. INTRODUCTION
Vehicular traffic has been modeled for more than half a
century 1 but the precise mechanism for generation and

  

Source: Awtar, Shorya - Department of Mechanical Engineering, University of Michigan

 

Collections: Engineering