Quantitative Analysis of Recurrent Plots for Assessing the State of Dynamic Systems

The recurrence plots and their quantitative analysis are effectively used to assess the state of dynamic systems as they can describe non-linear and non-stationary processes characteristic of such systems. As an example, the processing of a signal from a system with stochastic influence, which well reflects changes in the state of a dynamic system, is presented. The analysis of time series of the studied signal, which is the input array of data for the construction of recurrent plots, was carried out. The purpose of the work is to combine the visual interpretation of the recurrent plot with the calculation of its quantitative measures to confirm the conclusion regarding the stability of the system’s functioning.

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Published
2024-09-19
DOI
https://doi.org/10.1109/acit62333.2024.10712596
Primary Topic
Engineering Diagnostics and Reliability
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article
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article

Quantitative Analysis of Recurrent Plots for Assessing the State of Dynamic Systems

Р.А. Салимов, Павло Ігорович Кулаков, Maryna Arkhyrei, Iryna Morozova et al.
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Engineering Diagnostics and Reliability
article

Quantitative Analysis of Recurrent Plots for Assessing the State of Dynamic Systems

Р.А. Салимов, Павло Ігорович Кулаков, Maryna Arkhyrei, Iryna Morozova, Olga Ivanets, Mikle Burichenko
article en

Abstract

The recurrence plots and their quantitative analysis are effectively used to assess the state of dynamic systems as they can describe non-linear and non-stationary processes characteristic of such systems. As an example, the processing of a signal from a system with stochastic influence, which well reflects changes in the state of a dynamic system, is presented. The analysis of time series of the studied signal, which is the input array of data for the construction of recurrent plots, was carried out. The purpose of the work is to combine the visual interpretation of the recurrent plot with the calculation of its quantitative measures to confirm the conclusion regarding the stability of the system’s functioning.

Vol. N4
Uman National University of Horticulture (UA), National University "Kyiv Aviation Institute" (UA)
Openalex Percentile: Top 81%
Engineering Diagnostics and Reliability
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