Comparative analysis of time irreversibility and amplitude irreversibility based on joint permutation

by   Wenpo Yao, et al.
Nanjing University of Posts and Telecommunications

Although time irreversibility (TIR) and amplitude irreversibility (AIR) are relevant concepts for nonequilibrium analysis, their association has received little attention. This paper conducts a systematic comparative analysis of the relationship between TIR and AIR based on statistical descriptions and numerical simulations. To simplify the quantification of TIR and AIR, the amplitude permutation and global information of the associated vector are combined to produce a joint probability estimation. Chaotic logistic, Henon, and Lorenz series are generated to evaluate TIR and AIR according to surrogate theory, and the distributions of joint permutations for these model series are measured to compare the degree of TIR and AIR. The joint permutation TIR and AIR are then used to investigate nonequilibrium pathological features in epileptic electroencephalography data. Test results suggest that epileptic brain electrical activities, particular those during the onset of seizure, manifest higher nonequilibrium characteristics. According to the statistical definitions and targeted pairs of joint permutations in the chaotic model data, TIR and AIR are fundamentally different nonequilibrium descriptors from time- and amplitude-reversibility, respectively, and thus require different forms of numerical analysis. At the same time, TIR and AIR both provide measures for fluctuation theorems associated with nonequilibrium processes, and have similar probabilistic differences in the pairs of joint permutations and consistent outcomes when used to analyze both the model series and real-world signals. Overall, comparative analysis of TIR and AIR contributes to our understanding of nonequilibrium features and broadens the scope of quantitative nonequilibrium measures. Additionally, the construction of joint permutations contributes to the development of symbolic time series analysis.


page 1

page 2

page 3

page 4


Comparative analysis of the original and amplitude permutations

We compare the two basic ordinal patterns, i.e., the original and amplit...

Analysis of air pollution time series using complexity-invariant distance and information measures

Air pollution is known to be a major threat for human and ecosystem heal...

Counterfactual time series analysis for the air pollution during the outbreak of COVID-19 in Wuhan

Environmental issues are becoming one of the main topics of concern for ...

Time Series Prediction about Air Quality using LSTM-Based Models: A Systematic Mapping

This systematic mapping study investigates the use of Long short-term me...

Evaluation of Time Series Forecasting Models for Estimation of PM2.5 Levels in Air

Air contamination in urban areas has risen consistently over the past fe...

Validation and Verification of Turbulence Mixing due to Richtmyer-Meshkov Instability of an air/SF_6 interface

Turbulent mixing due to hydrodynamic instabilities occurs in a wide rang...

Andrade rheology in time-domain. Application to Enceladus' dissipation of energy due to forced libration

The main purpose of this work is to present a time-domain implementation...

Please sign up or login with your details

Forgot password? Click here to reset