About: A traffic flow model with overtaking as a Filippov system

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://10.1016/j.cam.2013.03.033
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 the model. 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. 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 the model. 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. (en)
Title	A traffic flow model with overtaking as a Filippov system A traffic flow model with overtaking as a Filippov system (en)
skos:prefLabel	A traffic flow model with overtaking as a Filippov system A traffic flow model with overtaking as a Filippov system (en)
skos:notation	RIV/00216208:11320/13:10189370!RIV14-MSM-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	I Z
http://linked.open...avai/riv/aktivity	I, Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika	2014//254
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Janovský, Vladimír
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	59163
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/13:10189370
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	piecewise smooth dynamics; Filippov system; overtaking; microscopic models; road traffic (en)
http://linked.open.../riv/klicoveSlovo	Filippov system microscopic models piecewise smooth dynamics road traffic overtaking
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[A2DD65DC5086]
http://linked.open...i/riv/nazevZdroje	Journal of Computational and Applied Mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	2014
http://linked.open...iv/tvurceVysledku	Janovský, Vladimír Buric, Lubor
http://linked.open...ain/vavai/riv/wos	000320894600006
http://linked.open...n/vavai/riv/zamer	Metody moderní matematiky a jejich aplikace
issn	0377-0427
number of pages	10 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.cam.2013.03.033
http://localhost/t...ganizacniJednotka	11320

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