489 citations · 861 across the 13 of their papers we have counts for
13 papers
How human drivers control their vehicle
Peter Wagner
The data presented here show that human drivers apply a discrete noisy control mechanism to drive their vehicle. A car-following model built on these observations, together with so…
Modelling traffic flow fluctuations
Peter Wagner
By analyzing empirical time headway distributions of traffic flow, a hypothesis about the underlying stochastic process can be drawn. The results found lead to the assumption that…
Empirical basis for car-following theory development
Peter Wagner, Ihor Lubashevsky
By analyzing data from a car-following experiment, it is shown that drivers control their car by a simple scheme. The acceleration is held approximately constant for a certa…
Towards Noised-Induced Phase Transitions in Systems of Elements with Motivated Behavior
Ihor Lubashevsky, Morteza Hajimahmoodzadeh, Albert Katsnelson +1
A new type of noised-induced phase transitions that should occur in systems of elements with motivated behavior is considered. By way of an example, a simple oscillatory system {x,…
Noised induced phase transition in an oscillatory system with dynamical traps
Ihor Lubashevsky, Morteza Hajimahmoodzadeh, Albert Katsnelson +1
A new type of noised induced phase transitions is proposed. It occurs in noisy systems with dynamical traps. Dynamical traps are regions in the phase space where the regular forces…
Towards the fundamentals of car following theory
Ihor Lubashevsky, Peter Wagner, Reinhard Mahnke
The problem of a car following a lead car driven with constant velocity is considered. To derive the governing equations for the following car dynamics a cost functional that ranks…