Long-term changes in the north-south asymmetry of solar activity: a nonlinear dynamics characterization using visibility graphs

Abstract. Solar activity is characterized by complex dynamics superimposed onto an almost periodic, approximately 11-year cycle. One of its main features is the presence of a marked, time-varying hemispheric asymmetry, the deeper reasons for which have not yet been completely uncovered. Traditionally, this asymmetry has been studied by considering amplitude and phase differences. Here, we use visibility graphs, a novel tool of nonlinear time series analysis, to obtain complementary information on hemispheric asymmetries in dynamical properties. Our analysis provides deep insights into the potential and limitations of this method, revealing a complex interplay between factors relating to statistical and dynamical properties, i.e., effects due to the probability distribution and the regularity of observed fluctuations. We demonstrate that temporal changes in the hemispheric predominance of the graph properties lag those directly associated with the total hemispheric sunspot areas. Our findings open a new dynamical perspective on studying the north–south sunspot asymmetry, which is to be further explored in future work.

• Publication year

  2014

• Venue

  Nonlinear Processes in Geophysics

• Publication date

  2014-11-24

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.5194/NPG-21-1113-2014
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Interactive comment on “ Long-term changes in the North – South asymmetry of solar activity : a nonlinear dynamics characterization using visibility graphs ” by Y .

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  2014influential reference
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  2013cited by this paper
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  2009cited by this paper
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  2008influential reference
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  2008cited by this paper
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