The traffic problem: Modelling of the overtaking

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F09%3A00206519" target="_blank" >RIV/00216208:11320/09:00206519 - 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: Modelling 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<sub>x</sub> - 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)

Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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