Geodesic
Fractal Theory of Saturn's Ring. II: Electromagnetic Phenomena
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control and differential equations, Tome 304 (2019), pp. 167-173

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This article is a continuation of the author's previous paper of 2015. It deals with electromagnetic phenomena in a model of a flat two-dimensional ring with a given law of differential rotation. The reasons of high electromagnetic activity in Saturn's ring are discussed. In parallel with the discussion, it is shown that similar reasons can clarify other processes such as the charging of thunderclouds. New aspects in the theory of magnetic fields of planets are also proposed. 
@article{TM_2019_304_a10,
     author = {M. I. Zelikin},
     title = {Fractal {Theory} of {Saturn's} {Ring.} {II:} {Electromagnetic} {Phenomena}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {167--173},
     publisher = {mathdoc},
     volume = {304},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2019_304_a10/}
}
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M. I. Zelikin. Fractal Theory of Saturn's Ring. II: Electromagnetic Phenomena. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control and differential equations, Tome 304 (2019), pp. 167-173. http://geodesic.mathdoc.fr/item/TM_2019_304_a10/