A Simple Model for the Solar Cycle

Author: Pontieri A.   Lepreti F.   Sorriso-Valvo L.   Vecchio A.   Carbone V.  

Publisher: Springer Publishing Company

ISSN: 0038-0938

Source: Solar Physics, Vol.213, Iss.1, 2003-03, pp. : 195-201

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

A simple nonlinear model which describes the 11-year solar cycle can be derived from the usual -&ohgr; 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.