The traffic problem: modeling of the overtaking

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F09%3A00022106" target="_blank" >RIV/60461373:22340/09:00022106 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

The traffic problem: modeling of the overtaking

Original language description

The classical microscopic single line follow-the-leader model of a road traffic may collapse in finite time due to a car collision. In order to avoid the collision, the natural action of a driver would be to overtake the slower car. We propose a simple model of overtaking assuming a circular road. The model is a dynamical system with discontinuous right-hand side (the Filippov system). As a case study, we assumed that the system consists of $N = 3$ identical cars. We studied a particular periodic solution (oscillatory pattern). We explored the possibility to use the standard software (AUTO97) to continue the pattern with respect to a parameter.

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

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

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

Name of the periodical

Mathematical methods in the applied sciences

ISSN

0170-4214

e-ISSN

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Volume of the periodical

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Issue of the periodical within the volume

32

Country of publishing house

GB - UNITED KINGDOM

Number of pages

20

Pages from-to

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UT code for WoS article

000272506500001

EID of the result in the Scopus database

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