Tori and chaos in a nonlinear dynamo model for solar activity

Details Tori and chaos in a nonlinear dynamo model for solar activity Tori and chaos in a nonlinear dynamo model for solar activity

Feb 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992stin...9311351f&link_type=abstract

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Mathematics

Chaos, Dynamo Theory, Nonlinearity, Solar Activity, Solar Magnetic Field, Toroids, Toruses, Branching (Mathematics), Differential Equations, Dynamic Models, Magnetohydrodynamics, Poloidal Flux, Qualitative Analysis, Sun

Scientific paper

A nonlinear dynamo model for solar activity which includes the feedback of the helicity upon the mean magnetic field was investigated. The qualitative behavior of a seven dimensional system of ordinary differential equations obtained by truncation of that model was studied numerically. It was compared with results from a sixth order system derived from the seventh order system by a special polar coordinate transformation. In dependence on characteristic parameters, the seven dimensional model exhibits periodic, quasiperiodic (on T2 and T3) and chaotic behavior where a route to chaos via the transition T2 to T3 to T2 to chaos was found to be typical. In contrast to that, no chaotic state occurs in the reduced system due to a nonregularity of the coordinate transformation.

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