Chaotic behaviour of noisy traffic data. (3rd November 2016)

• Record Type: Journal Article
• Authors: Martinovič, Tomáš
• Other Names: Vigo‐Aguiar Jesus guestEditor.; Garcia Rubio Raquel guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 6(2018)
• Page Start: 2287
• Page End: 2293
• Publication Date: 2016-11-03
• Subjects: dynamical system -- chaos -- Lyapunov exponent -- Shannon entropy -- 0‐1 test for chaos -- road traffic -- time series; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4234
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : This paper describes the procedure of extracting information about the dynamics of highway traffic speed. The wavelet shrinkage is used to diminish the effect of the noise. Afterwards, the dynamical properties of the system are estimated through the 0–1 test for chaos, Lyapunov exponents and the notion of Shannon entropy. The results indicate the strong chaotic dynamics in the traffic speed data. In addition to that, the predictability of the system is related to the values of the maximal Lyapunov exponent and Shannon entropy. The higher those values are, the worse the predictability of the system is. Furthermore, it is shown that Shannon entropy can be used to detect changes in dynamics on different time scales. Copyright © 2016 John Wiley & Sons, Ltd.