Abstract
This review begins with remarks on contributions by T. G. Cowling to the problem of the solar magnetism. Then I discuss problems connected to first-order smoothing in mean-field dynamo theory. Next, the reasons for a solar dynamo operating near the base of the outer convection zone will be recalled, and models will be reviewed. Finally, I address the variety of possible solutions to the dynamo equations: Stationary and oscillatory, symmetric and antisymmetric with respect to the equator, axisymmetric and longitude-dependent. Limit cycles and chaotic fields which appear in the non-linear regime will be mentioned in this context.

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