The stability of nonlinear mean-field dynamo models in spherical geometry has been investigated numerically. Assuming axisymmetry and incompressibility we find stable stationary solutions of both even and odd parity over a range of four decades in the Taylor number. Furthermore, we extend studies on solutions with #x201C;mixed parity#x201D;, which have been found previously for an #x3B1;#x3C9;-dynamo model, neglecting here, however, the explicit feedback on the mean motions. Plots of trajectories in phase space and Poincar#xE9; maps, showing intersections of the trajectories with certain hyperplanes in phase space, reveal that the solution lies on a torus for some of these models.
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