Nonlinear Dynamos in Torus Geometry - Transition to Chaos

Details Nonlinear Dynamos in Torus Geometry - Transition to Chaos Nonlinear Dynamos in Torus Geometry - Transition to Chaos

Feb 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994mnras.266..733b&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Vol. 266, NO. 3/FEB1, P. 733, 1994

Astronomy and Astrophysics

Astronomy

13

Accretion, Accretion Discs - Chaotic Phenomena - Mhd

Scientific paper

We present results from integrating the non-linear mean field dynamo equations in the αω-regime in a toroidal conducting volume. We assume a Keplerian rotation law, and impose axisymmetry. The non-linearity is a simple α-quenching. For `fat' tori, where the ratio of minor to major axis is not small, we find that solutions with negative dynamo number and dipolar parity are singly periodic for slightly supercritical dynamo numbers, and then undergo a further Hopf bifurcation to become doubly periodic, before becoming chaotic at dynamo numbers greater than about three times supercritical.

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