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On existence of magnetic lines joining zero points

V. Z. Grines1, В. S. Medvedev2, O.V. Pochinka3, E. V. Zhuzhoma4

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

1Professor, Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod; vgrines@yandex.ru.

2Senior Staff Scientist, Institute of Applied Mathematics and Cybernetics at Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod; medvedev@unn.ac.ru

3Professor, High School Economy, Nizhny Novgorod; olga-pochinka@yandex.ru

4Professor, Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod; zhuzhoma@mail.ru.

Citation: V. Z. Grines, В. S. Medvedev, O.V. Pochinka,E. V. Zhuzhoma, "[On existence of magnetic lines joining zero points]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:1 (2014) 8–15 (In Russian)