An alpha-Omega dynamo with order and chaos

Details An alpha-Omega dynamo with order and chaos An alpha-Omega dynamo with order and chaos

May 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991a%26a...245..654s&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 245, no. 2, May 1991, p. 654-661.

Astronomy and Astrophysics

Astrophysics

47

Chaos, Dynamo Theory, Solar Magnetic Field, Solar Cycles, Strange Attractors

Scientific paper

A simple alpha-Omega dynamo is presented, including alpha-quenching by the magnetic field, modeled by a separate differential equation. The model is cast in spectral form. It is demonstrated that the type of solution, in particular the transition to chaotic behavior, critically depends on the number of Fourier components taken into account. Low-order systems tend to reach chaotic solutions already at moderate dynamo number, via subharmonic cascades. High-order systems have limit cycles even at large magnitude of the dynamo number; their routes to chaos preferentially include two- and three-dimensional tori in phase space.

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