A traffic flow model with overtaking as a Filippov system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10189370" target="_blank" >RIV/00216208:11320/13:10189370 - isvavai.cz</a>
Result on the web
<a href="http://10.1016/j.cam.2013.03.033" target="_blank" >http://10.1016/j.cam.2013.03.033</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cam.2013.03.033" target="_blank" >10.1016/j.cam.2013.03.033</a>

Result language
angličtina
Original language name
A traffic flow model with overtaking as a Filippov system
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 the overtaking. We observed a large variety of oscillatory solutions {oscillatory patterns) of themodel. In the present contribution, we formulate our model as a particular Filippov system i.e., ODEs with discontinuous righthand sides. Hence, we can identify our problem with a well defined solution class. We define oscillatory patterns as invariant objects of this Filippov system.
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
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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