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Preprints of the Keldysh Institute of Applied Mathematics, 2013, 057, 19 pp. (Mi ipmp1807)  

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

A. V. Kolesnichenko
References:
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.
Document Type: Preprint
Language: Russian
Citation: A. V. Kolesnichenko, “Self-organising of synchronised traffic flows under influence of noise-induced transitions”, Keldysh Institute preprints, 2013, 057, 19 pp.
Citation in format AMSBIB
\Bibitem{Kol13}
\by A.~V.~Kolesnichenko
\paper Self-organising of synchronised traffic flows under influence of noise-induced transitions
\jour Keldysh Institute preprints
\yr 2013
\papernumber 057
\totalpages 19
\mathnet{http://mi.mathnet.ru/ipmp1807}
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  • https://www.mathnet.ru/eng/ipmp/y2013/p57
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
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