Regensburg 2007 – scientific programme
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AKSOE: Arbeitskreis Physik sozio-ökonomischer Systeme
AKSOE 4: Poster Session (posters are expected to be displayed the full day (9:00-18:00)
AKSOE 4.7: Poster
Monday, March 26, 2007, 16:30–18:00, Poster D
Car following model with dynamical traps — •Julia Hinkel1, Ihor Lubashevsky2, Reinhard Mahnke1, and Christof Liebe1 — 1Universität Rostock, Institut für Physik, Germany — 2Theory Department, A.M. Prokhorov General Physics Institute, Russian Academy of Sciences, Moscow, Russia
The dynamics of car following is under consideration. By way of example, the rather simple model of the motion of two cars is studied and its dynamics is analysed numerically. The leading car has a constant speed. The following car is specified by the system of stochastic differential equations in phase space of the headway and velocity difference with additive white noise. The equation for acceleration includes the term which describes the delay in the driver reaction with perception depending on the velocity difference. The perception determines the dynamical trap region near the headway axis where the velocity difference becomes sufficiently low.
The present investigations show numerically that the additive white noise can cause several anomalies. A new type of noised induced phase transition in headway space is observed. The headway distribution can become bimodal and velocity distribution has the Laplace form under influence of dynamical trap effect.