Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Lubor Buřič"'
Autor:
Vladimír Janovský, Lubor Buřič
Publikováno v:
Journal of Computational and Applied Mathematics. 254:55-64
We investigate microscopic models of road traffic. In particular, we consider a 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 car
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f756e37f6ea963a16f0b8f90eb263f3
https://doi.org/10.1016/j.cam.2013.03.033
https://doi.org/10.1016/j.cam.2013.03.033
Autor:
Lubor Buřič, Vladimír Janovský
Publikováno v:
Mathematics and Computers in Simulation. 82:1874-1893
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 t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e272d303bf5abe9434c7626642315833
https://doi.org/10.1016/j.matcom.2011.07.001
https://doi.org/10.1016/j.matcom.2011.07.001
Autor:
Vladimír Janovský, Lubor Buřič
Publikováno v:
Mathematical Methods in the Applied Sciences. 32:2319-2338
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 simp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1bddb48d5282d510f084a746b66ceca
https://doi.org/10.1002/mma.1134
https://doi.org/10.1002/mma.1134
Autor:
Lubor Buřič, Vladimír Janovský
Publikováno v:
Physica D: Nonlinear Phenomena. 237:28-49
We consider a simple microscopic follow-the-leader model of N identical cars on a circular road. In the classical setting, a car is not allowed to reach its leader. If it happens at a particular time t E , we propose to extend the model beyond this t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b161762f46a565cb968f67c907bef39
https://doi.org/10.1016/j.physd.2007.07.021
https://doi.org/10.1016/j.physd.2007.07.021
Publikováno v:
Applied Mathematics and Computation. 183:1039-1051
The spruce budworm and forest population models are investigated both in the form of ODE’s and in the form of PDE’s. In the former, the canard solutions were detected. In the latter, the canard travelling waves were discovered. We investigate mai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::baece82c6aa966abd0838839e82e639d
https://doi.org/10.1016/j.amc.2006.05.115
https://doi.org/10.1016/j.amc.2006.05.115
Publikováno v:
AIP Conference Proceedings.
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 mode
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2436734c8ec547f51f32d2c4c1357435
https://doi.org/10.1063/1.3241456
https://doi.org/10.1063/1.3241456
Autor:
Vladimír Janovský, Lubor Buřič
Publikováno v:
ResearcherID
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54d89e653de5ad1f0c5fd31068917c2c
https://doi.org/10.1063/1.2990870
https://doi.org/10.1063/1.2990870
Publikováno v:
AIP Conference Proceedings.
We consider car‐following models for a single‐line traffic flow on a circular road. The model is characterized by a choice of a particular optimal velocity function which is related to each individual driver. The aim is to investigate oscillatory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d401e6f5e3e9ec4ea695d54417725de5
https://doi.org/10.1063/1.2790276
https://doi.org/10.1063/1.2790276