Time-dependent limited penetrable visibility graph analysis of nonstationary time series

2017 ◽  
Vol 476 ◽  
pp. 43-48 ◽  
Author(s):  
Zhong-Ke Gao ◽  
Qing Cai ◽  
Yu-Xuan Yang ◽  
Wei-Dong Dang
Keyword(s):  
Time Series ◽  
Nonstationary Time Series ◽  
Visibility Graph ◽  
Time Dependent ◽  
Graph Analysis ◽  
Visibility Graph Analysis

scholarly journals Extracting Correlations in Earthquake Time Series Using Visibility Graph Analysis

2021 ◽  
Vol 9 ◽  
Author(s):  
Sumanta Kundu ◽  
Anca Opris ◽  
Yohei Yukutake ◽  
Takahiro Hatano
Keyword(s):  
Time Series ◽  
Complex Network ◽  
Recent Observation ◽  
Visibility Graph ◽  
Graph Analysis ◽  
Common Belief ◽  
Complex Network Theory ◽  
Event Time ◽  
Visibility Graph Analysis ◽  
Present Understanding

Recent observation studies have revealed that earthquakes are classified into several different categories. Each category might be characterized by the unique statistical feature in the time series, but the present understanding is still limited due to their non-linear and non-stationary nature. Here we utilize complex network theory to shed new light on the statistical properties of earthquake time series. We investigate two kinds of time series, which are magnitude and inter-event time (IET), for three different categories of earthquakes: regular earthquakes, earthquake swarms, and tectonic tremors. Following the criterion of visibility graph, earthquake time series are mapped into a complex network by considering each seismic event as a node and determining the links. As opposed to the current common belief, it is found that the magnitude time series are not statistically equivalent to random time series. The IET series exhibit correlations similar to fractional Brownian motion for all the categories of earthquakes. Furthermore, we show that the time series of three different categories of earthquakes can be distinguished by the topology of the associated visibility graph. Analysis on the assortativity coefficient also reveals that the swarms are more intermittent than the tremors.

scholarly journals Visibility graph analysis of wall turbulence time-series

2018 ◽  
Vol 382 (1) ◽  
pp. 1-11 ◽  
Author(s):  
Giovanni Iacobello ◽  
Stefania Scarsoglio ◽  
Luca Ridolfi
Keyword(s):  
Time Series ◽  
Visibility Graph ◽  
Wall Turbulence ◽  
Graph Analysis ◽  
Visibility Graph Analysis

Visibility Graph Analysis of Particle Size Distribution During Flocculation for Water Treatment

2021 ◽  
Vol 232 (3) ◽  
Author(s):  
Kamila Jessie Sammarro Silva ◽  
Larissa Lopes Lima ◽  
Gustavo Santos Nunes ◽  
Lyda Patricia Sabogal-Paz
Keyword(s):  
Particle Size ◽  
Water Treatment ◽  
Particle Size Distribution ◽  
Size Distribution ◽  
Visibility Graph ◽  
Graph Analysis ◽  
Visibility Graph Analysis

Visibility graph analysis on heartbeat dynamics of meditation training

2013 ◽  
Vol 102 (25) ◽  
pp. 253702 ◽  
Author(s):  
Sen Jiang ◽  
Chunhua Bian ◽  
Xinbao Ning ◽  
Qianli D. Y. Ma
Keyword(s):  
Visibility Graph ◽  
Graph Analysis ◽  
Visibility Graph Analysis
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