A Road Traffic Model with Overtaking: Continuation of Periodic Patterns Using Symmetry
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F09%3A00022107" target="_blank" >RIV/60461373:22340/09:00022107 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A Road Traffic Model with Overtaking: Continuation of Periodic Patterns Using Symmetry
Original language description
The classical microscopic 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 proposed a simple model of overtaking assuming a circular road. The model is a piecewise-smooth dynamical system. In the previous work, we have identified several emph{oscillatory patterns} with temporal or spatial-temporal symmetry. In the present contribution we use the symmetry to simplify defining equations of the patterns and continue the patterns with respect to the length of the track $L$.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Numerical Analysis and Applied Mathematics, International Conference on Numerical Analysis and Applied Mathematics 2009
ISBN
978-0-7354-0705-3
ISSN
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e-ISSN
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Number of pages
4
Pages from-to
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Publisher name
American Institute of Physics
Place of publication
Melville, New York
Event location
Rethymno, Kréta, Řecko
Event date
Sep 18, 2009
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000273023600076