ArticlePloS one2017
Multifractality and Network Analysis of Phase Transition.
Article in PloS one, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
What it found
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Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
6 citing papers in PubMed.
- Baseline Dynamics and Sleep Loss-Driven Changes of Electrocorticographic Aperiodic Properties Are Altered in Mice Lacking Neuroligin-2.The European journal of neuroscience · 2026Article
- Evidence of Critical Dynamics in Movements of Bees inside a Hive.Entropy (Basel, Switzerland) · 2022Article
- Spatial patterns of urbanising landscapes in the North Indian Punjab show features predicted by fractal theory.Scientific reports · 2022Article
- Analysis of Korean Peninsula Earthquake Network Based on Event Shuffling and Network Shuffling.Entropy (Basel, Switzerland) · 2021Article
- Temporal Signatures of Criticality in Human Cortical Excitability as Probed by Early Somatosensory Responses.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2020Article
- Analysis of properties of Ising and Kuramoto models that are preserved in networks constructed by visualization algorithms.PloS one · 2019Article
Corrections and comments
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Authors and funding
6 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Many models and real complex systems possess critical thresholds at which the systems shift dramatically from one sate to another. The discovery of early-warnings in the vicinity of critical points are of great importance to estimate how far the systems are away from the critical states. Multifractal Detrended Fluctuation analysis (MF-DFA) and visibility graph method have been employed to investigate the multifractal and geometrical properties of the magnetization time series of the two-dimensional Ising model. Multifractality of the time series near the critical point has been uncovered from the generalized Hurst exponents and singularity spectrum. Both long-term correlation and broad probability density function are identified to be the sources of multifractality. Heterogeneous nature of the networks constructed from magnetization time series have validated the fractal properties. Evolution of the topological quantities of the visibility graph, along with the variation of multifractality, serve as new early-warnings of phase transition. Those methods and results may provide new insights about the analysis of phase transition problems and can be used as early-warnings for a variety of complex systems.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.