TY  - JOUR
PY  - 2010//
TI  - Dynamical phenomena induced by bottleneck
JO  - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
A1  - Gasser, I.
A1  - Werner, B.
SP  - 4543
EP  - 4562
VL  - 368
IS  - 1928
N2  - We study a microscopic follow-the-leader model on a circle of length L with a bottleneck. Allowing large bottleneck strengths we encounter very interesting traffic dynamics. Different types of waves-travelling and standing waves and combinations of both wave types-are observed. The way to find these phenomena requires a good understanding of the complex dynamics of the underlying (nonlinear) equations. Some of the phenomena, like the ponies-on-a-merry-go-round solutions, are mathematically well known from completely different applications. Mathematically speaking we use Poincaré maps, bifurcation analysis and continuation methods beside numerical simulations.<p />  <p>Language: en</p>
LA  - en
SN  - 1364-503X
UR  - http://dx.doi.org/10.1098/rsta.2010.0118
ID  - ref1
ER  -