4.6 Article

Duffing Oscillator Model of Solar Cycles

Journal

ASTROPHYSICAL JOURNAL LETTERS
Volume 888, Issue 2, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.3847/2041-8213/ab6335

Keywords

Solar cycle; Maunder minimum; Analytical mathematics

Funding

  1. Russian Foundation for Basic Research (RFBR) [19-02-00088]
  2. Russian Academy of Sciences [12]
  3. NASA [NNX15AE95G]
  4. NASA [NNX15AE95G, 805288] Funding Source: Federal RePORTER

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We propose that the solar cycle variability could be described in the framework of an external quasi-sinusoidal influence on an oscillator with cubic nonlinearity and linear damping (Duffing oscillator). To demonstrate this, we compare the empirical amplitude-frequency dependence with the theoretical one obtained by the Krylov-Bogolyubov averaging method. The empirical data are a composite time series of 2.0 version of sunspot number series, which starts in 1700, and the sunspot group number series by Svalgaard & Schatten, scaled to sunspot number, for 1610-1699 interval. We find that while this interpretation of solar cycle is a mathematical approximation, it explains several properties of solar cycle variability.

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