Nonlinear astrophysical dynamos - Bifurcation of steady dynamos from oscillating dynamos

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Astrophysics, Dynamo Theory, Magnetic Stars, Nonlinear Equations, Rotating Matter, Stellar Rotation, A Stars, Angular Velocity, B Stars, Boundary Value Problems, Convection, Dipole Moments, Fluid Dynamics, Geomagnetism, O Stars, Steady State, Wave Equations

Scientific paper

The steady magnetic field configurations which are stable solutions of the nonlinear dynamo wave equation are considered. Depending on the initial conditions adopted in the integration, the solutions of the nonlinear wave equation, integrated numerically as the initial-boundary-value problem in rotating spherical geometry, eventually bifurcate into a stationary oscillating state and a stationary steady state. Both states are stable with respect to small perturbations. It is suggested that the magnetic fields of the earth and the planets as well as fields of nonsolar-type magnetic stars (especially stars classified as oblique rotators) represent special stationary solutions of the nonlinear dynamo wave equation which can also have oscillating solutions. Field reversals would result from the transition between the two stationary states.

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