|
This article is cited in 1 scientific paper (total in 1 paper)
Self-organizing of stochastic traffic flows under influence of phase transitions induced by noise
A. V. Kolesnichenko Keldysh Institute of Applied Mathematics RAS
Abstract:
The collective behaviour of stochastic traffic system of a city or its large region is investigated. It is shown in self-organising of the synchronised motion of the active particles (cars) taking place on principles of phase transitions. Thus spontaneous process of self-organising of chaotic traffic flows (providing a diversion from an optimum mode of a motion) occurs under the influence of any the correlated noise which are caused by influence on traffic conditions of cars of various random factors. Stationary states of a spatially homogeneous traffic flows in the presence of noise of the driving parametre are analysed.
Keywords:
traffic flows, stochastic processes, self-organising, multiplicative noise, Fokker–Plank equation, noise-induced transitions.
Received: 19.08.2014
Citation:
A. V. Kolesnichenko, “Self-organizing of stochastic traffic flows under influence of phase transitions induced by noise”, Matem. Mod., 27:11 (2015), 120–134
Linking options:
https://www.mathnet.ru/eng/mm3673 https://www.mathnet.ru/eng/mm/v27/i11/p120
|
|