Noise-Induced Stop-and-Go Dynamics in Pedestrian Single-file Motion

Abstract

Stop-and-go waves are a common feature of vehicular traffic and have also been observed in pedestrian flows. Usually the occurrence of this self-organization phenomenon is related to an inertia mechanism. It requires fine-tuning of the parameters and is described by instability and phase transitions. Here, we present a novel explanation for stop-and-go waves in pedestrian dynamics based on stochastic effects. By introducing coloured noise in a stable microscopic inertia-free (i.e. first order) model, pedestrian stop-and-go behaviour can be described realistically without requirement of instability and phase transition. We compare simulation results to empirical pedestrian trajectories and discuss plausible values for the model’s parameters.

Distributed multi-robot potential-field-based exploration with submap-based mapping and noise-augmented strategy

“…Colored noises have been studied in [40,41] that they can influence the dynamics and trigger complex patterns. Hence, they are adopted in various stochastic models [42,43,44]. This study provides a novel approach for applying color noises in multi-robot exploration.…”