Nonlinear Time Series Analysis of the Predictions of an α Ω Flux-Transport Model with Meridional Circulation

Details Nonlinear Time Series Analysis of the Predictions of an α Ω Flux-Transport Model with Meridional Circulation Nonlinear Time Series Analysis of the Predictions of an α Ω Flux-Transport Model with Meridional Circulation

Dec 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001agufmgp31a0180j&link_type=abstract

American Geophysical Union, Fall Meeting 2001, abstract #GP31A-0180

Physics

7524 Magnetic Fields, 7536 Solar Activity Cycle (2162), 7537 Solar And Stellar Variability, 7544 Stellar Interiors And Dynamo Theory

Scientific paper

Solar dynamics are inherently nonlinear. The validation of solar dynamo models that reflect this nonlinearity poses a special problem. A first step in this validation can involve the analysis of model predictions for the magnetic field energy using the methods of nonlinear time series analysis. Though these methods were originally introduced to study chaotic systems, if a clear signature of determinism is found for the process generating an observable, and this observable couples the active degrees of freedom of the system, then the notion of phase space provides a convenient framework for the comparison of model predictions and observations. The analysis of model results for the magnetic field energy using Dikpati and collaborators' α Ω flux-transport model driven by a tachocline α -effect with advective transport of magnetic flux by meridional circulation is presented. The results of such an analysis can be compared with the results of the analysis of various solar observables, e.g. sunspot area or the Stanford Mean Field. This comparison can serve to validate the underlying dynamics of the model.

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