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Article

Гетероклинические кривые диффеоморфизмов Морса-Смейла и сепараторы в магнитном поле плазмы

Нелинейная динамика. 2014. Т. 10. № 4. С. 427-438.

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.