Abstract
A simple nonlinear model which describes the 11-year solar cycle can be derived from the usual α−ω dynamo theory in the form of a Van der Pol equation. Solar activity displays also small-scale inter-cycle persistent stochastic oscillations with a Hurst exponent of the order of H≃0.76±0.01. The results obtained from the Van der Pol oscillator superimposed on a fractional Brownian motion which describes the stochastic fluctuations are presented.
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Pontieri, A., Lepreti, F., Sorriso-Valvo, L. et al. A Simple Model for the Solar Cycle. Solar Physics 213, 195–201 (2003). https://doi.org/10.1023/A:1023227503176
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DOI: https://doi.org/10.1023/A:1023227503176