Astronomy and Astrophysics · 2009 · 64 citations · 25 references
Natural SciencesAstronomyEarth SciencesAstrophysicsClimatologySolar AstronomySolar Active RegionsSolar CycleSolar OscillationsButterfly DiagramLatitudinal DistributionPeriodicityRecurrence PlotsSolar Cycle DynamicsSolar Cycle Hemispheric AsymmetrySolar Cycle VariationsSolar Magnetic Cycles
<i>Aims. <i/>Sunspot distribution in the northern and southern solar hemispheres exibit striking synchronous behaviour on the scale of a Schwabe cycle. However, sometimes the bilateral symmetry of the Butterfly diagram relative to the solar equatorial plane breaks down. The investigation of this phenomenon is important to explaining the almost-periodic behaviour of solar cycles.<i>Methods. <i/>We use cross-recurrence plots for the study of the time-varying phase asymmetry of the northern and southern hemisphere and compare our results with the latitudinal distribution of the sunspots.<i>Results. <i/>We observe a long-term persistence of phase leading in one of the hemispheres, which lasts almost 4 solar cycles and probably corresponds to the Gleissberg cycle. Long-term variations in the hemispheric-leading do not demonstrate clear periodicity but are strongly anti-correlated with the long-term variations in the magnetic equator.
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Recurrence plots for the analysis of complex systems
Norbert Marwan, M. Carmen Romano, Marko Thiel et al. · Physics Reports · 2007 · 3.8K citations · Full text
A Magneto-Kinematic Model of the Solar Cycle
Robert B. Leighton · The Astrophysical Journal · 1969 · 895 citations