Analysis of micro-macrostructure regularities in the cyclic recurrepence of the solar activity

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Astronomy and Astrophysics
1Voichyshyn, KS
1State Research Institute of Information Infrastructure National Academy of Sciences of Ukraine, Lviv, Ukraine
Kosm. nauka tehnol. 1998, 4 ;(4):132–137
https://doi.org/10.15407/knit1998.04.132
Publication Language: Ukrainian
Abstract: 
We analyze the current status research on the thin structure of heliophysical cyclic time series. Methodological difficulties in picking out and corroboration of the reality of an annual component in the monthly fluctuations of Wolf numbers are noted. Relations between the parameters are studied. The results of processing of the average monthly Wolf numbers, which form the basis for the quantitative interpretation and generalization of the Schwabe − Wolf law, are presented. Arguments which corroborate the relationship between the microstructure and macrostructure of the time serves of solar activity indices are given.
Keywords: mathematical modelling, solar activity cycles, time series
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References: 
1. Vasil'eva G. Ya., Kuznetsov D. A., Shpital'naya A. A., Petrova N. S. On the problem of annual variations of solar activity. I. Dependence of the seasonal variation on the phase of the 11-year cycle. Solnechnye Dannye. Byulletin, No. 4,  96 —110 (1974) [In Russian].
2. Vitinskij Yu. I. On the problem of annual variations of solar activity. Solnechnye Dannye. Byulletin, No. 6,  82—85 (1973) [In Russian].
3. Vitinskij Yu. I. Cyclic recurrence and solar activity forecast, 258 p. (Nauka, Moscow, 1973) [in Russian].
4. Vitinskij Yu. I. On the annual variation of strong fluctuations of Wolf numbers. Solnechnye Dannye. Byulletin, No. 4,  111—118 (1974) [In Russian].
5. Vitinskii Yu. I., Iskhanov R. N. K voprosu ob opredelenii jepoh jekstremumov ciklov solnechnyh pjaten. Solnechnye Dannye. Byulletin, No. 1,  70 — 75 (1960) [In Russian].
6. Vitinskij Yu. I., Kopetskij M., Kuklin G. V. Statistics of the spot-forming activity of the sun, 296 p. (Nauka, Moscow, 1986) [In Russian].
7. Voichishin K. S. Analysis of amplitude-phase disturbances of the rhythmic structure of Wolf numbers. Astronomicheskii Zhurnal, 55 (6), 811— 822 (1978) [In Russian].
8. Voichishin K. S. Peculiarities of the Fine Structure of the 11-YEAR Cyclicity of Solar Activity. Astronomicheskii Zhurnal, 58 (1), 167— 173 (1981) [In Russian].
9. Voichishin K. S. The internal consistency of solar cycle parameters and the precalculation of its ordinates. Astronomicheskii Zhurnal, 64 (3), 617— 626 (1987) [In Russian].
10. Voichishin K. S. O vozmozhnosti vyjavlenija funkcional'nyh zavisimostej v ciklicheskoj strukture geliofizicheskih indeksov. Problemy upravlenija i informatiki, No. 2, 120—125 (1997) [In Russian].
11. Voichishin K. S., Dragan Ya. P. Primer obrazovanija periodicheski korrelirovannyh sluchajnyh processov. Radiotekhnika i Elektronika, 18 (9), 1957 — 1960 (1973) [in Russian].
12. Voichishin K. S., Stodilka M. I. On the Statistical Stability of Solar Cyclicity. Astronomicheskii Zhurnal, 59 (6), 1171— 1183 (1982) [In Russian].
13. Voichishin K. S., Stodilka M. I. On steadying the monthly fluctuations of heliophysical indices. Astronomicheskii Zhurnal, 61 (5), 976— 984 (1984) [In Russian].
14. Voichishin K. S., Stodilka M. I. Vremennaja struktura ciklichnosti srednemesjachnyh nabljudennyh chisel Vol'fa: Preprint No. 99 Phys.-Mech. Inst. of the AS of USSR, 48 p. (Lvov, 1985) [In Russian].
15. Kandaurova K. A. Statistical Analysis and Prediction of the Zurich Series of Wolf Numbers with the Eliminated Regular Part. Solnechnye Dannye. Byulletin, No. 11, 80 — 89 (1971) [In Russian].
16. Kozhevnikov N. I. The annual component in the solar activity spectrum. Astronomicheskii Tsirkulyar, No. 1018, 2— 4 (1978) [In Russian].
17. Kozhevnikov N. I. The annual component of the solar activity cycle. Solnechnye Dannye. Byulletin, No. 5, 91— 96 (1979) [In Russian].
18. Muzalevskii Yu. S., Zhukov L. V. The Fluctuations in the Monthly Wolf Numbers. Astronomicheskii Zhurnal, 47(3), 541—543 (1970) [In Russian].
19. Onoprienko V. I. Problema ciklichnosti v teoreticheskoj geologii. Geolog. zhurn., No. 32, Is. 6, 3—14 (1972) [In Russian].
20. Chistyakov V. F. The Cyclic Activity of the Sun, 124 p. (Dal'nevost. kn. izdatel'stvo, Vladivostok, 1973) [In Russian].
21. Eigenson A. M. O mnogomernoj klassifikacii 11-letnej ciklichnosti solnechnoj aktivnosti. Vestn. L'vov. un-ta. Ser. astron., No. 56, 22—24 (1981) [In Russian].
22. Voichishin K. S. The procedure of  detecting  the general regularities of the time structure of cyclic signals. Pat­tern Recogn. and Image Analysis, 4, 188—294 (1994).

23. Waldmeier M. Neue Eigenschaften der Sonnenfleckenkurve. Astron. Mitt., 106—294 (1935).