Structural stability of axisymmetric dynamo models.

Details Structural stability of axisymmetric dynamo models. Structural stability of axisymmetric dynamo models.

Apr 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...296..269t&link_type=abstract

Astronomy and Astrophysics, v.296, p.269

Astronomy and Astrophysics

Astrophysics

20

Sun: Magnetic Fields, Stars: Magnetic Fields, Mhd, Instabilities, Chaotic Phenomena, Sun: Magnetic Fields

Scientific paper

We examine the stability of the dynamical behaviour of axisymmetric α^2^ ω dynamo models in rotating spherical shells as well as in spheres. Overall, our results show that the spherical dynamo models are more stable in the following senses: spherical models (i) do not seem to allow chaotic behaviour and (ii) are robust with respect to changes in the functional form of α. On the other hand, spherical shell models (i) are capable of producing chaotic behaviour for certain ranges of parameter values and (ii) possess, in the combined "space" of parameters and boundary conditions, regions of complicated behaviours, in the sense that there are regimes in which small changes in either the dynamo parameters or the boundary conditions can drastically change the qualitative behaviour of the model. Finally, we discuss briefly the physical relevance of our results.

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