Continuation of oscillatory patterns in a road traffic model of three cars

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10128501" target="_blank" >RIV/00216208:11320/12:10128501 - isvavai.cz</a>

Result on the web

<a href="http://www.sciencedirect.com/science/article/pii/S0378475411001674" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0378475411001674</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.matcom.2011.07.001" target="_blank" >10.1016/j.matcom.2011.07.001</a>

Result language

angličtina

Original language name

Continuation of oscillatory patterns in a road traffic model of three cars

Original language description

We investigate microscopic models of the road traffic. In particular, we consider the car-following model for a single-line traffic flow of N identical cars on a circular road. The classical differentiable model breaks down at the time instant when two cars collide. Nevertheless, the natural action of a driver would be to overtake the slower car. In our previous work, we proposed the model which simulates overtaking. We observed a large variety of oscillatory solutions (oscillatory patterns) of the model. In the present contribution, we assume N = 3 i.e., three cars on the route, and formulate our model as a particular piecewise smooth (PWS) dynamical system. We define generic oscillatory patterns as invariant objects of the flow defined by this PWS system. We use the standard software to continue the patterns with respect to a parameter (the length of the route). In this respect, we also investigate bifurcation phenomena.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F06%2F0356" target="_blank" >GA201/06/0356: Algorithms for continuation of invariant subspaces of large sparse matrices with applications</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematics and Computers in Simulation

ISSN

0378-4754

e-ISSN

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Volume of the periodical

82

Issue of the periodical within the volume

10

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

19

Pages from-to

1874-1893

UT code for WoS article

000308519900012

EID of the result in the Scopus database

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