Heteroclinic curves of Morse--Smale cascades and separators in magnetic field of plasma
Russian journal of nonlinear dynamics, Tome 10 (2014) no. 4, pp. 427-438.

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We obtain properties of three-dimensional phase space and dynamics of Morse–Smale diffeomorphism that led to existence of at least one heteroclinical curve in non-wandering set of the diffeomorphism. We apply this result to solve a problem of existence of separators in magnetic field of plasma.
Keywords: Morse–Smale cascades, heteroclinic curves, mapping torus, locally trivial bundle, separators of magnetic field.
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VyacheslavZ. Grines; Elena Ya. Gurevich; Evgenii V. Zhuzhoma; Svetlana Kh. Zinina. Heteroclinic curves of Morse--Smale cascades and separators in magnetic field of plasma. Russian journal of nonlinear dynamics, Tome 10 (2014) no. 4, pp. 427-438. http://geodesic.mathdoc.fr/item/ND_2014_10_4_a2/

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