Abstract
The smoothed monthly sunspot numbers of the previous 22 complete sunspot cycles are normalized in time domain, and then an eigen mode analysis is carried out to draw the principle factors (or components) in the cycles. The results show that the main characteristics of the solar cycles can be described fairly well by the first 5 eigen modes. The obtained eigen modes are used to predict the declining phase of cycle 23 on the basis of the data prior to its maximum. The prediction indicates that cycle 23 will last for 127 months to December 2006, with the minimum of 6.2.
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Wang, J. L., Han, Y. B., Forecasts of smoothed monthly mean sunspot numbers and non-smoothed monthly mean sunspot numbers for solar cycle 23, Astrophys. Rep., 1997, (Supp 1): 76–80.
Kunches, J., A retrospective look at the prodictions for sunspot cycle 22, in Proceedings of the Ottawa Solar-Terrestrial Prediction Workshop, Vol 2. (ed. Hruska, J. et al.), Boulder: NOAA, 1993, 198–202.
Thompson, R., The prediction of the solar cycle, in Proceedings of Solar-Terrestrial Prediction Workshop at Hitachi, Japan (ed. Heckman G et al.), Tokyo: RWC, 1996a, 65–72.
Thompson, R., The amplitude of solar cycle, 23, in Proceedings of Solar-Terrestrial Prediction Workshop at Hitachi, Japan (ed. Heckman, G. et al.), Tokyo: RWC, 1996b, 97–98.
Wang, J. L., Li, X. C., When will the solar minimum appear? in Proceedings of Solar-Terrestrial Prediction Workshop at Hitachi, Japan (ed. Heckman, G. et al.), Tokyo: RWC, 1996,85–88.
Zhang, G., Estimate of characteristic values for solar cycle 23, in Proceedings of Solar-Terrestrial Prediction Workshop at Hitachi, Japan (ed. Heckman, G. et al.), Tokyo: RWC, 1996, 93–96.
Zhang, Q., Several noteworthy problems in the search for chaotic behavior in solar activity, in Proceedings of Solar-Terrestrial Prediction Workshop at Hitachi, Japan (ed. Heckman, G. et al.), Tokyo: RWC, 1996, 113–116.
Kendall, M. G., Stuart, A., The Advanced Theory of Statistics, Vol 3, Chap. 35, London: Charles Griffin, 1976.
Frynberg, E. B., Separation of the geomagnetic field into a normal and anomalous part, Geomagn. Aeron., 1975, 15: 117- 120.
Pushkov, A. N., Frynberg, E. B., Chernova, T. A. et al., Analysis of the space-time structure of the main geomagnetic field by expansion into natural orthogonal components, Geomagn.Aeron., 1976, 16: 196–199.
Rotanova, N. M., Papitashvili, N. E. Pushkov, A. N., Use of natural orthogonal components to distinguish and analyze the 60-yr geomagnetic field variations, Geomagn. Aeron., 1982, 22: 821–824.
Xu, W. -Y., Zhang, M. -L., Lin, Y. -F. et al., Analysis of structure of the variable geomagnetic fields at middle and low latitudes, Chinese J. Geophys., 1990, 33: 12–21.
Golovkov, V. P., Bondar, T. N., Burdelnava, I. A. et al., Using satellite magnetic survey data for spatial-temporal modeling of the geomagnetic secular variation, J. Geomag. Geoelectr., 1997, 49: 207–227.
Sun, W., Xu, W. -Y., Akasofu, A. -I., Mathematical separation of directly driven and unloading components in the ionospheric equivalent currents during substorms, J. Geophys. Res., 1998, 103: 11695–1700.
Langel, R. A., The main field, in Geomagnetism, Vol 1. (ed. Jacobs, J. A.), London: Academic Press, 1987, 249–512.
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Xu, W. Normalization of sunspot cycles and eigen mode analysis. Sci. China Ser. A-Math. 45 (Suppl 1), 4–11 (2002). https://doi.org/10.1007/BF02889677
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DOI: https://doi.org/10.1007/BF02889677