Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981azh....58..167v&link_type=abstract
(Astronomicheskii Zhurnal, vol. 58, Jan.-Feb. 1981, p. 167-173.) Soviet Astronomy, vol. 25, Jan.-Feb. 1981, p. 93-96. Translati
Astronomy and Astrophysics
Astronomy
Fine Structure, Solar Activity, Solar Cycles, Stochastic Processes, Time Series Analysis, Astronomical Models, Heuristic Methods
Scientific paper
Substantiation is given for the concept of cyclicity, at the basis of which lie such characteristic features of heliophysical time series as stochasticity, discontinuity, and stability of the shape of the cycles. A conceptual and formal apparatus is developed for the description and analysis of cyclic oscillations. A simple model of cyclicity with disturbances of the phase structure and without them is analyzed on a heuristic level of rigor. The results of an investigation of the monthly fluctuations of Wolf numbers obtained within the framework of this model are presented. A connection between the quasi-determinate amplitude component of the monthly fluctuations of Wolf numbers in the range of periods of from 2 to 15 months and the 11-year component is confirmed. It is shown that the fine structure of the 11-year averaged cycle of monthly average Wolf numbers is determined mainly by the almost-yearly quasi-determinate component. The possibility of discontinuity (from cycle to cycle) in the quasi-determinate component of the above-mentioned fluctuations is pointed out.
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