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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F06%2F0356" target="_blank" >GA201/06/0356: Aplikace algoritmů pro kontinuaci invariantních podprostorů velkých řídkých matic</a><br>

Návaznosti

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

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

Mathematics and Computers in Simulation

ISSN

0378-4754

e-ISSN

—

Svazek periodika

82

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

19

Strana od-do

1874-1893

Kód UT WoS článku

000308519900012

EID výsledku v databázi Scopus

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