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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2013 057, 19 pp. (Mi ipmp1807)

Self-organising of synchronised traffic flows under influence of noise-induced transitions

A. V. Kolesnichenko


Abstract: The collective behaviour of non-linear 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) having natural motives of a motion. 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.



© Steklov Math. Inst. of RAS, 2026