Abstract
Secular variations of solar activity (Gleissberg and Suess cycles) have approximately 80 – 130 and 200 year periods. They are manifested in both observed and proxy data. Here, we show that the basic dynamic features of the Schwabe cycle (asymmetry of its growth and decay phases) and secular cycles (multi-frequency structure and irregular Grand-extremes), as well as a connection between them, can be described by parameter tuning of the electromechanical “toy” dynamo system which has been widely used to model the inversions of the geomagnetic field. An amplitude-frequency diagram for the model magnetic flux has the same shape as the directly observed and reconstructed sunspot area indices.
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References
Bard, E., Raisbeck, G., Yiou, F., and Jouzel, J.: 2000, Tellus B. 52, 985.
Bullard, E.C.: 1955, Proc. Camb. Phil. Soc. 51, 744.
Durney, B.R.: 2000, Solar Phys. 197, 215.
Ershov, S.V., Malinetskii, G.G., and Ruzmaikin, A.A.: 1989, Geophys. Astrophys. Fl. Dyn. 47, 251.
Hide, R. and Moroz, I.M.: 1999, Physica D. 134, 287.
Hide, R.: 1997, Phys. Earth Plan. Int. 103, 281.
Howard, R. and LaBonte, B.J.: 1980, Astrophys. J. 239, L33.
Hoyt, D.V. and Schatten, K.H.: 1996, Solar Phys. 165, 181.
Huang, N.E., Shen, Z., Long, S.R., Wu, M.C., Shin, H.H., Zheng, Q., Yen, N.C., Tung, C.C., and Liu, H.H.: 1998, Proc. R. Soc. Lond. A 454, 903.
Kitchatinov, L.L., Pipin, V.V., Makarov, V.I., and Tlatov, A.G.: 1999, Solar Phys. 189, 227.
Knobloch, E. and Landsberg, A. S.: 1996, Mon. Not. Roy. Astron. Soc. 278, 294.
Nagovitsyn, Yu. A.: 1997, Astron. Lett. 23, 742.
Nagovitsyn, Yu. A.: 2005, Astron. Lett. 31, 557.
Ogurtsov, M.G., Kocharov, G.E., Lindholm, M., Meriläinen, J., Eronen, M., and Nagovitsyn, Yu. A.: 2002, Solar Phys. 205, 403.
Rikitake, T.: 1958, Proc. Camb. Phil. Soc. 54, 89.
Ruzmaikin, A.A.: 1981, Comm. Astrophys. 9, 85.
Solanki, S.K. and Schüssler, M.: 2005, Mem. Soc. Astron. It. 76, 781.
Solanki, S.K., Usoskin, I.G., Kromer, B., Schüssler, M., and Beer, J.: 2004, Nature 431, 1084.
Tavakol, R.: 1978, Nature 276, 802.
Volobuev, D.: 2004, Solar Phys. 224, 387.
Wolf, A., Swift, J.B., Swinney, H.L., and Vastano, J.A.: 1985, Physica D 16, 285.
Yoshimura, H.: 1981, Astrophys. J. 247, 1102.
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An erratum to this article is available at http://dx.doi.org/10.1007/s11207-007-9025-3.
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Volobuev, D. “TOY” Dynamo to Describe the Long-Term Solar Activity Cycles. Sol Phys 238, 421–430 (2006). https://doi.org/10.1007/s11207-006-0154-x
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DOI: https://doi.org/10.1007/s11207-006-0154-x