Abstract
A method of constructing asymptotic solutions for nonlinear mean-field dynamo equations near the excitation threshold is developed and applied to equations describing the solar dynamo in a Parker model. The form of solution obtained corresponds to the eigensolution for a kinematic dynamo, for the intensity of the generation sources at which self-excitation of the magnetic field begins (the so-called marginally stable eigenfunction). The wave amplitude is calculated.
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Original Russian Text © M.A. Sever’yanova, E.P. Popova, D.D. Sokoloff, 2010, published in Astronomicheskiĭ Zhurnal, 2010, Vol. 87, No. 8, pp. 828–832.
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Sever’yanova, M.A., Popova, E.P. & Sokoloff, D.D. Parker’s dynamo near the excitation threshold. Astron. Rep. 54, 762–766 (2010). https://doi.org/10.1134/S106377291008010X
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DOI: https://doi.org/10.1134/S106377291008010X