Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-09-08
Astronomy and Astrophysics
Astrophysics
Latex with full figures, also available on web page http://www.maths.qmw.ac.uk/~eoc; Astronomy and Astrophysics, accepted
Scientific paper
We study axisymmetric mean field spherical and spherical shell dynamo models, with both dynamic and algebraic $\alpha$--quenchings. Our results show that there are qualitative as well as quantitative differences and similarities between these models. Regarding similarities, both groups of models exhibit symmetric, antisymmetric and mixed modes of behaviour. As regards differences, the important feature in the full sphere models is the occurrence of chaotic behaviour in the algebraic $\alpha$--quenching models. For the spherical shell models with dynamic $\alpha$ the main features include the possibility of multi-attractor regimes with final state sensitivity with respect to small changes in the magnitude of $\alpha$ and the initial parity. We find the effect of introducing a dynamic $\alpha$ is likely to be complicated and depend on the region of the parameter space considered, rather than a uniform change towards simplicity or complexity.
Brandenburg Axel
Covas Eurico
Tavakol Reza
Tworkowski Andrew
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