Scale-resolved phase coherence analysis of hemispheric sunspot activity: a new look at the north-south asymmetry

Aims. The sunspot activity on both solar hemispheres is known to show time intervals of different phase relationships. In this letter, we introduce an advanced statistical framework that allows an appropriate analysis of these relationships. Methods. We combine wavelet analysis with statistical measures of phase coherence to obtain well-defined phase differences in dependence on the selected oscillation period. Results. Our approach characterises the temporally varying phase difference of the hemispheric sunspot activity over the past 130 years, which is a major contribution to the north-south asymmetry. Coherent phase variables are found to exist for a frequency band with periodicities around the dominating 11-year cycle. We observe significant continuous long-term variability of interhemispheric phase shifts, which is not reproduced by solar activity records from previous centuries.

[1]  Jürgen Kurths,et al.  Recurrence plots for the analysis of complex systems , 2009 .

[2]  E. Forgács-dajka,et al.  Searching for mid-term variations in different aspects of solar activity ¿ looking for probable common origins and studying temporal variations of magnetic polarities , 2007 .

[3]  Reinhold Kliegl,et al.  Twin surrogates to test for complex synchronisation , 2006 .

[4]  N. V. Zolotova,et al.  Phase asynchrony of the north-south sunspot activity , 2006 .

[5]  J. Ballester,et al.  The periodic behaviour of the North-South asymmetry of sunspot areas revisited , 2005 .

[6]  Aslak Grinsted,et al.  Nonlinear Processes in Geophysics Application of the Cross Wavelet Transform and Wavelet Coherence to Geophysical Time Series , 2022 .

[7]  A comparison of the spectral characteristics of the Wolf Sunspot Number (RZ) and Group Sunspot Number (RG) , 2004 .

[8]  Alexey A Koronovskii,et al.  An approach to chaotic synchronization. , 2004, Chaos.

[9]  Jan Olof Stenflo,et al.  Periodic oscillations in the north-south asymmetry of the solar magnetic field , 2004 .

[10]  Jürgen Kurths,et al.  An Approach to Multivariate Phase Synchronization Analysis and its Application to Event-Related Potentials , 2004, Int. J. Bifurc. Chaos.

[11]  J. Kurths,et al.  Three types of transitions to phase synchronization in coupled chaotic oscillators. , 2003, Physical review letters.

[12]  D. Grönemeyer,et al.  Is there evidence of fetal-maternal heart rate synchronization? , 2003, BMC Physiology.

[13]  K. Wong,et al.  Properties of phase locking with weak phase-coherent attractors , 2001 .

[14]  Jürgen Kurths,et al.  Synchronization: Phase locking and frequency entrainment , 2001 .

[15]  Jürgen Kurths,et al.  Detection of n:m Phase Locking from Noisy Data: Application to Magnetoencephalography , 1998 .

[16]  M. Paluš Detecting phase synchronization in noisy systems , 1997 .

[17]  Matthias Holschneider,et al.  Wavelets - an analysis tool , 1995, Oxford mathematical monographs.

[18]  D. B. Swinson,et al.  Long-term variations in north-south asymmetry of solar activity , 1986 .

[19]  Lord Rayleigh F.R.S. XII. On the resultant of a large number of vibrations of the same pitch and of arbitrary phase , 1880 .