Geodesic
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. 
@article{ND_2014_10_4_a2,
     author = {VyacheslavZ. Grines and Elena Ya. Gurevich and Evgenii V. Zhuzhoma and Svetlana Kh. Zinina},
     title = {Heteroclinic curves of {Morse--Smale} cascades and separators in magnetic field of plasma},
     journal = {Russian journal of nonlinear dynamics},
     pages = {427--438},
     publisher = {mathdoc},
     volume = {10},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2014_10_4_a2/}
}
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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/