Detection of a sudden change of the field time series based on the Lorenz system
| Autor: | BingLu Shen, Chaojiu Da, Fang Li, Jian Song, PengCheng Yan, DeShan Ma |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Atmospheric Science
Time Factors Molecular biology lcsh:Medicine 010502 geochemistry & geophysics 01 natural sciences Systems Science Physical Chemistry Topology Order of integration Mathematical and Statistical Techniques Chemical Equilibrium Atmospheric Dynamics lcsh:Science Mathematics Multidisciplinary Physics Mathematical analysis Vector Construction Lorenz system Dynamical Systems Chemistry Geophysics Physical Sciences Change detection Statistics (Mathematics) Algorithms Research Article Computer and Information Sciences Dynamical systems theory Field (physics) DNA construction Inner product space 0103 physical sciences Differential Equations Gene Expression and Vector Techniques Statistical Methods 010306 general physics 0105 earth and related environmental sciences Equilibrium point Molecular Biology Assays and Analysis Techniques Series (mathematics) Biology and life sciences System Stability lcsh:R Change Detection Numerical Analysis Computer-Assisted Atmospheric Physics Research and analysis methods Molecular biology techniques Earth Sciences lcsh:Q Alaska |
| Zdroj: | PLoS ONE PLoS ONE, Vol 12, Iss 1, p e0170720 (2017) |
| ISSN: | 1932-6203 |
| Popis: | We conducted an exploratory study of the detection of a sudden change of the field time series based on the numerical solution of the Lorenz system. First, the time when the Lorenz path jumped between the regions on the left and right of the equilibrium point of the Lorenz system was quantitatively marked and the sudden change time of the Lorenz system was obtained. Second, the numerical solution of the Lorenz system was regarded as a vector; thus, this solution could be considered as a vector time series. We transformed the vector time series into a time series using the vector inner product, considering the geometric and topological features of the Lorenz system path. Third, the sudden change of the resulting time series was detected using the sliding t-test method. Comparing the test results with the quantitatively marked time indicated that the method could detect every sudden change of the Lorenz path, thus the method is effective. Finally, we used the method to detect the sudden change of the pressure field time series and temperature field time series, and obtained good results for both series, which indicates that the method can apply to high-dimension vector time series. Mathematically, there is no essential difference between the field time series and vector time series; thus, we provide a new method for the detection of the sudden change of the field time series. |
| Databáze: | OpenAIRE |
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