A Simple Model for the Solar Cycle

Physics

Scientific paper

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Scientific paper

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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