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基于小波的多尺度间歇性分析：变形的影响。

Wavelet-Based Multiscale Intermittency Analysis: The Effect of Deformation.

作者信息

Angulo José M, Madrid Ana E

机构信息

Department of Statistics and Operations Research, University of Granada, 18071 Granada, Spain.

出版信息

Entropy (Basel). 2023 Jul 18;25(7):1080. doi: 10.3390/e25071080.

DOI:10.3390/e25071080
PMID:37510027
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10378465/
Abstract

Intermittency represents a certain form of heterogeneous behavior that has interest in diverse fields of application, particularly regarding the characterization of system dynamics and for risk assessment. Given its intrinsic location-scale-dependent nature, wavelets constitute a useful functional tool for technical analysis of intermittency. Deformation of the support may induce complex structural changes in a signal. In this paper, we study the effect of deformation on intermittency. Specifically, we analyze the interscale transfer of energy and its implications on different wavelet-based intermittency indicators, depending on whether the signal corresponds to a 'level'- or a 'flow'-type physical magnitude. Further, we evaluate the effect of deformation on the interscale distribution of energy in terms of generalized entropy and complexity measures. For illustration, various contrasting scenarios are considered based on simulation, as well as two segments corresponding to different regimes in a real seismic series before and after a significant earthquake.

摘要

间歇性代表了一种特定形式的异质性行为，它在不同的应用领域都受到关注，特别是在系统动力学特征描述和风险评估方面。鉴于其固有的位置尺度依赖性，小波构成了用于间歇性技术分析的有用函数工具。支撑的变形可能会在信号中引起复杂的结构变化。在本文中，我们研究变形对间歇性的影响。具体而言，我们根据信号对应于“水平”型还是“流量”型物理量，分析能量的尺度间转移及其对不同基于小波的间歇性指标的影响。此外，我们根据广义熵和复杂性度量来评估变形对能量尺度间分布的影响。为了说明，基于模拟考虑了各种对比场景，以及对应于一次大地震前后真实地震序列中不同状态的两段数据。

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本文引用的文献

1
Complexity of Fracturing in Terms of Non-Extensive Statistical Physics: From Earthquake Faults to Arctic Sea Ice Fracturing.基于非广延统计物理学的破裂复杂性：从地震断层到北极海冰破裂
Entropy (Basel). 2020 Oct 22;22(11):1194. doi: 10.3390/e22111194.