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

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