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- W4366563800 abstract "It is possible to describe many real systems using time-ordered data. However, classical time series analysis is usually conditioned by data accuracy and quantity. A modern method is to map time series onto graphs and study these structures using the toolbox available in complex network analysis. An important practical problem to investigate the criticality in experimental systems is to determine whether an observed time series is associated with a critical phenomenon or not. We contribute to this problem by investigating the mapping called visibility graph (VG) of time series generated in dynamical processes with absorbing-state phase transitions. Analyzing degree correlation patterns of the VGs, we were able to distinguish between critical and non-critical regimes. One central hallmark is an asymptotic disassortative correlation on the degree for series near the critical regime in contrast with a pure assortative correlation observed for non-critical dynamics. We were also able to distinguish between continuous and discontinuous absorbing state phase transitions, which are commonly involved in catastrophic phenomena. The determination of critical behavior converges very quickly in higher dimensions, where many complex system dynamics are relevant." @default.
- W4366563800 created "2023-04-22" @default.
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- W4366563800 date "2023-04-19" @default.
- W4366563800 modified "2023-10-18" @default.
- W4366563800 title "Visibility graphs of critical and non-critical time series for absorbing state phase transitions" @default.
- W4366563800 doi "https://doi.org/10.48550/arxiv.2304.09696" @default.
- W4366563800 hasPublicationYear "2023" @default.
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