Solar Physics

, Volume 218, Issue 1–2, pp 319–343 | Cite as

Long-Term Solar Cycle Evolution: Review of Recent Developments

  • I.G. Usoskin
  • K. Mursula


The sunspot number series forms the longest directly observed index of solar activity and allows one to trace its variations on the time scale of about 400 years since 1610. This time interval covers a wide range from seemingly vanishing sunspots during the Maunder minimum in 1645–1700 to the very high activity during the last 50 years. Although the sunspot number series has been studied for more than a century, new interesting features have been found even recently. This paper gives a review of the recent achievements and findings in long-term evolution of solar activity cycles such as determinism and chaos in sunspot cyclicity, cycles during the Maunder minimum, a general behaviour of sunspot activity during a great minimum, the phase catastrophe and the lost cycle in the beginning of the Dalton minimum in 1790s and persistent 22-year cyclicity in sunspot activity. These findings shed new light on the underlying physical processes responsible for sunspot activity and allow a better understanding of such empirical rules as the Gnevyshev–Ohl rule and the Waldmeier relations.


Solar Activity Solar Cycle Lost Activity Cycle Cycle Evolution 
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  1. Ahluwalia, H. S.: 1998, J. Geophys. Res. 103, 12103.Google Scholar
  2. Balthasar, H. and Schüssler, M.: 1983, Solar Phys. 87, 23.Google Scholar
  3. Beer, J., Tobias, S., and Weiss, N.: 1998, Solar Phys. 181, 237.Google Scholar
  4. Beer, J. et al.: 1990, Nature 347, 164.Google Scholar
  5. Berdyugina, S. V. and Usoskin, I. G.: 2003, Astron. Astrophys. 405, 1121.Google Scholar
  6. Boruta, N.: 1996, Astrophys. J. 458, 832.Google Scholar
  7. Boyer, D. W. and Levy, E. H.: 1984, Astrophys. J. 277, 848.Google Scholar
  8. Bracewell, R. N.: 1986, Nature 323, 516.Google Scholar
  9. Bravo S. and Stewart, G.: 1995, Astrophys. J. 446, 431.Google Scholar
  10. Caligari, P., Schüssler, M., and Moreno-Insertis, F.: 1998, Astrophys. J. 502, 481.Google Scholar
  11. Carbonell, M., Oliver, R., and Ballester, J. L.: 1993, Astron. Astrophys. 274, 497.Google Scholar
  12. Carbonell, M., Oliver, R., and Ballester, J. L.: 1994, Astron. Astrophys. 290, 983.Google Scholar
  13. Charbonneau, P.: 2001, Solar Phys. 199, 385.Google Scholar
  14. Charbonneau, P. and Dikpati, M.: 2000, Astrophys. J. 543, 1027.Google Scholar
  15. Conway, A. J.: 1998, New Astron. Rev. 42, 343.Google Scholar
  16. Cowling, T. G.: 1945, Monthly Notices Royal Astron. Soc. 105, 167.Google Scholar
  17. De Meyer, F.: 1998, Solar Phys. 181, 201.Google Scholar
  18. Dikpati, M., Corbard, T., Thompson, M. J., and Gilman, P. A.: 2002, Astrophys. J. 575, L41.Google Scholar
  19. Durney, B.: 2000, Solar Phys. 196, 421.Google Scholar
  20. Eddy, J. A.: 1983, Solar Phys. 192, 1189.Google Scholar
  21. Eddy, J. A.: 1976, Science 192, 1189.Google Scholar
  22. Eddy, J. A.: 1983, Solar Phys. 89, 195.Google Scholar
  23. Feynman, J. and Fougere, P. F.: 1984, J. Geophys. Res. 89, 3023.Google Scholar
  24. Feynman, J. and Gabriel, S. B.: 1990, Solar Phys. 127, 393.Google Scholar
  25. Frick, P. et al.: 1997, Astron. Astrophys. 328, 670.Google Scholar
  26. Gleissberg, W. A.: 1944, Terrest. Magnetic. Atmospheric Electr. 49, 243.Google Scholar
  27. Gleissberg, W. A.: 1948, Popular Astron. 56, 399.Google Scholar
  28. Gleissberg, W. A.: 1952, Die Häufigkeit der Sonnenflecken, Akademie-Verlag, Berlin.Google Scholar
  29. Gleissberg, W. A.: 1971, Solar Phys. 21, 240.Google Scholar
  30. Gnevyshev, M. N. and Ohl, A. I.: 1948, Astron. Zh. 25, 18.Google Scholar
  31. Hale, G. E.: 1908, Astrophys. J. 28, 315.Google Scholar
  32. Harvey, K. L. and White, O. R.: 1999, J. Geophys. Res. 104, 19759.Google Scholar
  33. Hathaway, D. H., Wilson, R. M., and Reichmann, E. J.: 1999, J. Geophys. Res. 104, 22375.Google Scholar
  34. Hathaway, D. H., Wilson, R. M., and Reichmann, E. J.: 2002, Solar Phys. 211, 357.Google Scholar
  35. Hoyt D. V. and Schatten, K.: 1996, Solar Phys. 165, 181.Google Scholar
  36. Hoyt D. V. and Schatten, K.: 1998, Solar Phys. 179, 189.Google Scholar
  37. Kane, R. P.: 2001, Solar Phys. 202, 395.Google Scholar
  38. Kocharov, G. E. et al.: 1995, Solar Phys. 159, 381.Google Scholar
  39. Komitov, B. and Bonev, B.: 2001, Astrophys. J. 554, L119.Google Scholar
  40. Kremliovsky, M. N.: 1994, Solar Phys. 151, 351.Google Scholar
  41. Kremliovsky, M. N.: 1995, Solar Phys. 159, 371.Google Scholar
  42. Krivova, N. A., Solanki, S. K., and Beer, J.: 2002, Astron. Astrophys. 396, 235.Google Scholar
  43. Křivský , L. and Pejml, K.: 1988, Astron. Inst. Czech. Acad. Sci. 75, 32.Google Scholar
  44. Kuklin, G. V.: 1976, in Bumba and Kleczek (eds.), 'Basic Mechanisms of Solar Activity', Proc. 70th IAU Symp. 147.Google Scholar
  45. Kurths, J. and Ruzmaikin, A. A.: 1990, Solar Phys. 126, 407.Google Scholar
  46. Lal, D.: 1987, Geophys. Res. Lett. 14, 785.Google Scholar
  47. Lawrence, J. K., Cadavid, A. C., and Ruzmaikin, A. A.: 1995, Astrophys. J. 455, 366.Google Scholar
  48. Letfus, V.: 1999, Solar Phys. 184, 201.Google Scholar
  49. Letfus, V.: 2000, Solar Phys. 194, 175.Google Scholar
  50. Levy, E. H. and Boyer, D.: 1982, Astrophys. J. 254, L19.Google Scholar
  51. Li, K. J., Yun, H. S., and Gu, X. M.: 2001, Astron. Astrophys. 368, 285.Google Scholar
  52. Li, K. J., Yun, H. S., Liang, H. F., and Gu, X. M.: 2002, J. Geophys. Res. 107.Google Scholar
  53. Mendoza, B.: 1997, Ann. Geophys. 15, 397.Google Scholar
  54. Mininni, P. D., Gomez, D. O., and Mindlin, G. B.: 2000, Phys. Rev. Lett. 85, 5476.Google Scholar
  55. Mininni, P. D., Gomez, D. O., and Mindlin, G. B.: 2001, Solar Phys. 201, 203.Google Scholar
  56. Miyahara, H. et al.: 2003, in Proc. 28th Int. Cosmic Ray Conf., Tsukuba 7, 4139.Google Scholar
  57. Mordvinov, X. V. and Kuklin, G. V.: 1999, Solar Phys. 187, 223.Google Scholar
  58. Morfill, G. E., Scheingraber, H. and Voges, W.: 1991, in: C. P. Sonnet, M. S. Giampapa, and M. S. Matthews (eds.), The Sun in Time, University of Arizona Press, Tucson, p. 30.Google Scholar
  59. Mundt, M. D., Maguire, W. B. II, and Chase, R. R. P.: 1991, J. Geophys. Res. 96, 1705.Google Scholar
  60. Mursula, K., Usoskin, I. G., and Kovaltsov, G. A.: 2001, Solar Phys. 198, 51.Google Scholar
  61. Mursula, K., Usoskin, I. G., and Nevanlinna, H.: 2003, in preparation.Google Scholar
  62. Mursula, K. and Ulich, Th.: 1998, Geophys. Res. Lett. 25, 1837.Google Scholar
  63. Nagovitsyn, Yu. A.: 1997, Astron. Lett. 23, 74.Google Scholar
  64. Newton, H. W.: 1928, Quart. J.R. Meteorol. Soc. 54, 161.Google Scholar
  65. Oliver, R. and Ballester, J. L.: 1996, Solar Phys. 169, 215.Google Scholar
  66. Oliver, R. and Ballester, J. L.: 1998, Phys. Rev. E. 58, 5650.Google Scholar
  67. Orfila, A., Ballester, J. L., Oliver, R., Alvarez, A., and Tintoré, J.: 2002, Astron. Astrophys. 386, 313.Google Scholar
  68. Ossendrijver, A. J. H., Hoyng, P., and Schmitt, D.: 1996, Astron. Astrophys. 313, 938.Google Scholar
  69. Ostryakov, V. M. and Usoskin, I. G.: 1990a, Solar Phys. 127, 405.Google Scholar
  70. Ostryakov, V. M. and Usoskin, I. G.: 1990b, Soviet Tech. Phys. Lett. 16, 658.Google Scholar
  71. Pelt, J., Brooke, J., Pulkkinen, P. J., and Tuominen, I.: 2000, Astron. Astrophys. 362, 1143.Google Scholar
  72. Peristykh, A. N. and Damon, P. E.: 1998, Solar Phys. 177, 343.Google Scholar
  73. Price, C. P., Prichard, D., and Hogenson, E. A.: 1992, J. Geophys. Res. 97, 19113.Google Scholar
  74. Ribes, J. C. and Nesme-Ribes, E.: 1993, Astron. Astrophys. 276, 549.Google Scholar
  75. Rigozo, N. R., Echer, E., Vieira, L. E. A., and Nordemann, D. J. R.: 2001, Solar Phys. 203, 179.Google Scholar
  76. Rozelot, J. P.: 1994, Solar Phys. 149, 149.Google Scholar
  77. Rozelot, J. P.: 1995, Astron. Astrophys. 297, L45.Google Scholar
  78. Ruzmaikin, A. A.: 1981, Comm. Modern Phys. C9, 85.Google Scholar
  79. Ruzmaikin, A.: 1997, Astron. Astrophys. 319, L13.Google Scholar
  80. Ruzmaikin, A.: 1998, Solar Phys. 181, 1.Google Scholar
  81. Salakhutdinova, I. I.: 1999, Solar Phys. 188, 377.Google Scholar
  82. Schlammmger, L.: 1990, Monthly Notices Royal Astron. Soc. 247, 67.Google Scholar
  83. Schmalz, S. and Stix, M.: 1991, Astron. Astrophys. 245, 654.Google Scholar
  84. Schmitt D., Schüssler, M., and Ferriz-Mas, A.: 1996, Astron. Astrophys. 311, L1.Google Scholar
  85. Schove, D. J.: 1955, J. Geophys. Res. 60, 127.Google Scholar
  86. Schröder, W.: 1992, J. Geomagn. Geoelectr. 44, 119.Google Scholar
  87. Schüssler, M. P., Caligari, P., Ferriz-Mas, A., and Moreno-Insertis, F.: 1994, Astron. Astrophys. 281, L69.Google Scholar
  88. Schüssler, M. P., Schmitt, D., and Ferriz-Mas, A.: 1997, in B. Schmieder, J. C. del Toro Iniesta and M. Vazquez (eds.), Advances in the Physics of Sunspots, A.S.P. Conf. Ser. 18, 39.Google Scholar
  89. Sello, S.: 2000, Astron. Astrophys. 363, 311.Google Scholar
  90. Serre, T. and Nesme-Ribes, E.: 2000, Astron. Astrophys. 360, 319.Google Scholar
  91. Silverman, S. M.: 1983, J. Geophys. Res. 88, 8123.Google Scholar
  92. Silverman, S. M.: 1992, Rev. Geophys. 30, 333.Google Scholar
  93. Silverman, S. M.: 1998, J. Atmospheric Solar-Terrest. Phys. 60, 997.Google Scholar
  94. Sokoloff, D. and Nesme-Ribes, E.: 1994, Astron. Astrophys. 288, 293.Google Scholar
  95. Solanki, S. K., Krivova, N. A., Schüssler, M., and Fligge, M.: 2002, Astron. Astrophys. 396, 1029.Google Scholar
  96. Sonett, C. P.: 1983, J. Geophys. Res. 88, 3225.Google Scholar
  97. Steig, E. J. et al.: 1996, Geophys. Res. Lett. 23, 523.Google Scholar
  98. Storini M. and Sý kora, J.: 1997, Solar Phys. 176, 417.Google Scholar
  99. Stuiver, M., and Quay, P.: 1980, Science 207, 11.Google Scholar
  100. Usoskin, I. G., Mursula, K., and Kovaltsov, G. A.: 2000, Astron. Astrophys. 354, L33.Google Scholar
  101. Usoskin, I. G., Mursula, K., and Kovaltsov, G. A.: 2001a, J. Geophys. Res. 106, 16039.Google Scholar
  102. Usoskin, I. G., Mursula, K., and Kovaltsov, G. A.: 2001b, Solar Phys. 199, 187.Google Scholar
  103. Usoskin, I. G., Mursula, K., and Kovaltsov, G. A.: 2002, Geophys. Res. Lett. 29.Google Scholar
  104. Usoskin, I. G., Mursula, K., and Kovaltsov, G. A.: 2003a, Astron. Astrophys. 403, 743.Google Scholar
  105. Usoskin, I. G., Mursula, K., and Kovaltsov, G. A.: 2003b, Solar Phys., this issue.Google Scholar
  106. Vitinsky, Yu. I.: 1965, Solar Activity Forecasting, Israel Program for Scientific Translations, Jerusalem.Google Scholar
  107. Vitinsky, Yu. I., Kopecký , M., and Kuklin, G. V.: 1986, Statistics of Sunspot Activity, Nauka, Moscow.Google Scholar
  108. Waldmeier, M.: 1935, Astron. Mitt. Zürich 14, 105.Google Scholar
  109. Waldmeier, M.: 1961, The Sunspot Activity in the Years 1610-1960, Zurich Schulthess and Company AG, Zürich.Google Scholar
  110. Weiss, N. O., Cattaneo, F., and Jones, C. A.: 1984, Geophys. Astrophys. Fluid Dynamics 30, 305.Google Scholar
  111. Wilson, P. R.: 1994, Solar and Stellar Activity Cycles, Cambridge University Press, Cambridge, 274 pp.Google Scholar
  112. Wilson, R. M.: 1988, Solar Phys. 117, 269.Google Scholar
  113. Wilson, R. M.: 1998, Solar Phys. 182, 217.Google Scholar
  114. Wittmann, A. D. and Xu, Z. T.: 1987, Astron. Astrophys. Suppl. Ser. 70, 83.Google Scholar
  115. Yua, K. K. and Stephenson, F. R.: 1988, Quart. J.R. Astron. Soc. 29, 175.Google Scholar
  116. Yule, G. U.: 1927, Phil. Trans. R. Soc. London A226, 267.Google Scholar
  117. Zeldovich, Ya. B., Ruzmaikin, A. A., and Sokoloff, D. D., 1983: Magnetic Fields in Astrophysics, Gordon and Breach, New York.Google Scholar

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© Kluwer Academic Publishers 2003

Authors and Affiliations

  • I.G. Usoskin
    • 1
  • K. Mursula
    • 2
  1. 1.Sodankylä Geophysical Observatory (Oulu unit)Finland
  2. 2.Department of Physical SciencesUniversity of OuluFinland

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