32 citations · 49 across the 5 of their papers we have counts for
9 papers
Boundary singularities and boundary conditions for the Fokker-Planck equations
Ihor Lubashevsky, Rudolf Friedrich, Reinhard Mahnke +2
The boundary conditions for the Fokker-Planck equations, forward and backward ones are directly derived from the Chapman-Kolmogorov equation for M-dimensional region with boundarie…
Probabilistic Description of Traffic Breakdowns Caused by On-ramp Flow
Reinhart Kuhne, Ihor Lubashevsky, Reinhard Mahnke +1
The characteristic features of traffic breakdown near on-ramp are analyzed. To describe this phenomenon the probabilistic description regarding the jam emergence as the formation o…
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,…
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…
Anomalous properties of heat diffusion in living tissue caused by branching artery network. Qualitative description
I. A. Lubashevsky, V. V. Gafiychuk, B. Y. Datsko
We analyze the effect of blood flow through large arteries of peripheral circulation on heat transfer in living tissue. Blood flow in such arteries gives rise to fast heat propagat…