Nonlinear analysis of pedestrian flow Reynolds number in video scenes. (March 2020)

• Record Type: Journal Article
• Authors: Liu, Shang; Li, Peiyu
• Is Part Of: Chaos, solitons and fractals. Volume 132(2020)
• Publication Date: 2020-03
• Subjects: Reynolds number -- Nonlinear analysis -- Pedestrian flow -- Largest Lyapunov exponent; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2019.109550
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: Pedestrian Flow Reynolds Number describes crowd motion state. Pedestrian Flow Reynolds Number is calculated based on videos. The Pedestrian Flow Reynolds Number calculation formula. Nonlinear analysis verifies the chaos of pedestrian flow's motion. Abstract: Research on crowd motion state plays an essential role for public safety and security. This paper aims to investigate the chaotic characteristics of pedestrian flow as a dynamical system. Firstly, pedestrian flow Reynolds number is proposed, which is a novel feature descriptor derived from Hydrodynamics, to describe crowd motion state. Secondly, the calculation method of pedestrian flow Reynolds number in video is put forward to characterize the motion state of the pedestrian flow. Thirdly, nonlinear time series analysis tools, including time delay embedding and largest Lyapunov exponent are applied to verify the chaos of pedestrian flow's motion. Experiments are performed on different data sets and the result that all the largest Lyapunov exponent are positive could indeed demonstrate the complexity and chaos of crowd motion. Meanwhile, it turns out that pedestrian flow Reynolds number put forward in the paper can effectively characterize the motion state of pedestrian flow. Our work paves a new way for research on crowd turbulence. It could potentially be applied to pattern analysis of crowd abnormal behavior analysis, crowd motion understanding, which can be used to improve the efficiency of public security management.