ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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On existence of separators of magnetic fields in a spherical layer of plasma

V. Z. Grines1, E. V. Zhuzhoma2, В. S. Medvedev3

AnnotationIn the paper, one proves that there exist separators of magnetic field in a spherical layer provided some conditions hold.
Keywordsmagnetic fields, plasma, separator, fun, spine, singular points, Morse-Smale difeomorphisms

1Professor chair of numerical and functional analysis, Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod; vgrines@yandex.ru.

2Professor chair of theory of contral and dynmics of maсhins, Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod; zhuzhoma@mail.ru.

3Senior Staff Scientist, Institute of Applied Mathematics and Cybernetics at Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod; medvedev@unn.ac.ru

Citation: V. Z. Grines, E. V. Zhuzhoma, В. S. Medvedev, "[On existence of separators of magnetic fields in a spherical layer of plasma]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:3 (2013) 21–28 (In Russian)