@article{ref1,
title="Dynamical phenomena induced by bottleneck",
journal="Philosophical transactions. Series A, Mathematical, physical, and engineering sciences",
year="2010",
author="Gasser, I. and Werner, B.",
volume="368",
number="1928",
pages="4543-4562",
abstract="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>",
language="en",
issn="1364-503X",
doi="10.1098/rsta.2010.0118",
url="http://dx.doi.org/10.1098/rsta.2010.0118"
}