Synchronization in Sunspot Indices in the Two Hemispheres

Abstract

Historical sunspot records were analyzed by means of nonlinear tools to find synchronization phenomena at different time scales on the Sun. Using cross-recurrence plots it is shown that the north – south sunspot synchronization demonstrates a set of distinct periodic oscillations – 43.29, 18.52, and 7.63 years. Also we have traced the sunspot synchronization on shorter time scales. Very rare and episodic synchronization within half of the Carrington rotation rate was detected. By using the empirical mode decomposition technique the north – south sunspot time series were decomposed into intrinsic oscillatory modes. To determine which modes of the signal are responsible for synchronization we separated them into high- and low-frequency parts. It is shown that phase synchronization is detected only in the low-frequency modes. The high-frequency component demonstrates noisy behavior with amplitude synchronization and strong phase mixing.

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References

  1. Ballester, J.L., Oliver, R., Carbonell, M.: 2005, Astron. Astrophys. 431, L5.

    Article  ADS  Google Scholar 

  2. Carbonell, M., Oliver, R., Ballester, J.L.: 1993, Astron. Astrophys. 274, 497.

    ADS  Google Scholar 

  3. Ching, Y.-T.: 2001, Pattern Recognit. Lett. 22, 421.

    MATH  Article  Google Scholar 

  4. Coughlin, K., Tung, K.K.: 2004, J. Geophys. Res. 109, D21105.

    Article  ADS  Google Scholar 

  5. Eckmann, J.-P., Kamphorst, S.O., Ruelle, D.: 1987, Europhys. Lett. 4, 973.

    Article  ADS  Google Scholar 

  6. Grinsted, A., Moore, J.C., Jevrejeva, S.: 2004, Nonlinear Process. Geophys. 11, 561.

    ADS  Google Scholar 

  7. Huang, N.E., Shen, Z., Long, S.R., Wu, M.C., Shih, H.H., Zheng, Q., Yen, N.-C., Tung, C.C., Liu, H.H.: 1998, Proc. Roy. Soc. Lond. 454, 903.

    MATH  ADS  MathSciNet  Article  Google Scholar 

  8. Knaack, R., Stenflo, J.O., Berdyugina, S.V.: 2004, Astron. Astrophys. 418, L17.

    Article  ADS  Google Scholar 

  9. Kremliovsky, M.N.: 1994, Solar Phys. 151, 351.

    Article  ADS  Google Scholar 

  10. Lawrence, J.K., Cadavid, A.C., Ruzmaikin, A.A.: 1995, Astrophys. J. 455, 366.

    Article  ADS  Google Scholar 

  11. Letellier, C., Aguirre, L.A., Maquet, J., Gilmore, R.: 2006, Astron. Astrophys. 449, 379.

    Article  ADS  Google Scholar 

  12. Maraun, D., Kurths, J.: 2004, Nonlinear Process. Geophys. 11, 505.

    ADS  Google Scholar 

  13. Marwan, N., Kurths, J.: 2002, Phys. Lett. A 302, 299.

    MATH  Article  ADS  MathSciNet  Google Scholar 

  14. Marwan, N., Kurths, J.: 2005, Phys. Lett. A 336, 349.

    Article  ADS  MATH  Google Scholar 

  15. Oliver, R., Ballester, J.L.: 1998, Phys. Rev. E 58, 5650.

    Article  ADS  Google Scholar 

  16. Paluš, M., Novotná, D.: 1999, Phys. Rev. Lett. 83, 3406.

    Article  ADS  Google Scholar 

  17. Pikovsky, A., Rosenblum, M., Kurths, J.: 2001, Synchronization: A Universal Concept in Nonlinear Science, Cambridge University Press, Cambridge.

    MATH  Google Scholar 

  18. Romano, M.C., Thiel, M., Kurths, J., Kiss, I.Z., Hudson, J.L.: 2005, Europhys. Lett. 71, 466.

    Article  ADS  Google Scholar 

  19. Ruzmaikin, A., Feynman, J., Yung, Y.L.: 2006, J. Geophys. Res. 111, D21114.

    Article  ADS  Google Scholar 

  20. Sokoloff, D., Nesme-Ribes, E.: 1994, Astron. Astrophys. 288, 293.

    ADS  Google Scholar 

  21. Watari, S.: 1996, Solar Phys. 163, 259.

    ADS  Google Scholar 

  22. Yi, W.: 1992, J. Roy. Astron. Soc. Can. 86, 89.

    ADS  Google Scholar 

  23. Zbilut, J.P., Giuliani, A., Webber, C.L. Jr.: 1998, Phys. Lett. A 246, 122.

    Article  ADS  Google Scholar 

  24. Zolotova, N.V., Ponyavin, D.I.: 2006a, Astron. Astrophys. 449, L1.

    Article  ADS  Google Scholar 

  25. Zolotova, N.V., Ponyavin, D.I.: 2006b, Tech. Phys. Lett. 32, 954.

    Article  ADS  Google Scholar 

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Correspondence to N. V. Zolotova.

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Zolotova, N.V., Ponyavin, D.I. Synchronization in Sunspot Indices in the Two Hemispheres. Sol Phys 243, 193–203 (2007). https://doi.org/10.1007/s11207-007-0405-5

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Keywords

  • Empirical Mode Decomposition
  • Sunspot Area
  • Intrinsic Mode Function
  • Sunspot Activity
  • Wavelet Power Spectrum