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- W3208678654 abstract "We consider a small stochastic perturbation of an optimal velocity car-following model. We give a detailed analysis of behavior near a collision singularity. We show that collision is impossible in a simplified model without noise, and then show that collision is asymptotically unlikely over large time intervals in the presence of small noise, with the large time interval scaling like the square of the reciprocal of the strength of the noise. Our calculations depend on careful boundary-layer analyses." @default.
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- W3208678654 date "2022-12-16" @default.
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- W3208678654 title "Near-Collision Dynamics in a Noisy Car-Following Model" @default.
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- W3208678654 doi "https://doi.org/10.1137/21m1454055" @default.
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