Nonlinear astrophysical dynamos - The solar cycle as a nonlinear oscillation of the general magnetic field driven by the nonlinear dynamo and the associated modulation of the differential-rotation-global-convection system

Details Nonlinear astrophysical dynamos - The solar cycle as a nonlinear oscillation of the general magnetic field driven by the nonlinear dynamo and the associated modulation of the differential-rotation-global-convection system Nonlinear astrophysical dynamos - The solar cycle as a nonlinear oscillation of the general magnetic field driven by the nonlinear dynamo and the associated modulation of the differential-rotation-global-convection system

Mar 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...220..692y&link_type=abstract

Astrophysical Journal, Part 1, vol. 220, Mar. 1, 1978, p. 692-711.

Astronomy and Astrophysics

Astrophysics

42

Dynamo Theory, Magnetohydrodynamics, Solar Activity Effects, Solar Cycles, Solar Magnetic Field, Boundary Value Problems, Convective Flow, Maxwell Equation, Navier-Stokes Equation, Nonlinearity, Solar Energy, Solar Rotation, Stable Oscillations, Weather Modification

Scientific paper

An attempt is made to examine the nonlinear reaction of a magnetic field with field-generating fluid motions in a dynamo as a possible mechanism for limiting the growing amplitude of the 22-yr solar cycle. Attention is given to formulation of the dynamo equation, the nonlinear dynamo equation, a local analysis of the nonlinear dynamo equation, and nonlinear dynamo-wave oscillations. The cases of a shallow and a deep upper zone are considered, and the response of the nonlinear dynamo system to temporary cessation of global-convection processes is investigated. Direct evidence that a nonlinear dynamo system is currently operating in the solar convection zone is discussed. It is concluded that magnetic oscillations of the solar cycle can be understood as nonlinear dynamo-wave oscillations driven by differential rotation and solar convection, which in turn are modulated by the reaction of the magnetic field in association with the solar cycle.

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