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Characterizing the Solar Activity Using the Visibility Graph Method.

Tomás Zurita-Valencia1, Víctor Muñoz1

  • 1Departamento de Física, Facultad de Ciencias, Universidad de Chile, Las Palmeras 3425, Ñuñoa, Santiago 7800003, Chile.

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Summary
This summary is machine-generated.

This study uses complex networks to analyze solar activity, finding that network metrics correlate with solar cycles. These findings offer a new method for monitoring the Sun's behavior and understanding solar cycles.

Keywords:
centralitycomplex networkscomplexitydecay exponentmagnetic fieldsolar activitysunspotstime series analysisvisibility graph

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Area of Science:

  • Solar physics
  • Complex systems analysis
  • Time series analysis

Background:

  • The Sun's behavior, including magnetic fields and sunspots, exhibits cyclical patterns.
  • Understanding solar activity is crucial for space weather prediction and astrophysical research.

Purpose of the Study:

  • To investigate the application of complex network theory to analyze solar activity.
  • To explore the relationship between solar cycles and network properties derived from time series data.

Main Methods:

  • Construction of complex networks using the Visibility Graph algorithm from solar magnetic field and sunspot time series data.
  • Calculation of various network metrics including degree, clustering coefficient, mean path length, betweenness centrality, and eigenvector centrality.
  • Analysis performed on both global (four solar cycles) and local (moving windows) time scales.

Main Results:

  • Several complex network metrics show correlation with solar activity levels.
  • Metrics identified as responsive to solar activity in the global analysis also demonstrated responsiveness in the local (moving window) analysis.
  • The study reveals distinct network behaviors across different phases of the solar cycle.

Conclusions:

  • Complex network analysis provides a valuable framework for studying and monitoring solar activity.
  • This approach can uncover novel insights into the dynamics of solar cycles.
  • The Visibility Graph method offers a robust way to represent and analyze solar time series data.