Abstract
The survey covers a main achievements in the field of dynamo theory. Applications of the model of turbulent convective dynamo to the problem of generation of a large-scale vortexes and magnetic structures in the solar photosphere are discussed. Investigated are the new models of the vortex dynamo in a rotating fluid with small-scale external force. The main results in these models are obtained by the method of multiscale asymptotic expansions. The results of numerical analysis of nonlinear equations of a magnetovortex dynamo in a stationary mode are provided. Solutions are found in the form of spiral kinks, periodic nonlinear waves and solitons, which are also considered in the survey.
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