Heteroclinic curves of Morse – Smale cascades and separators in magnetic field of plasma

2014, Vol. 10, No. 4, pp. 427-438

Author(s): Grines V. Z., Gurevich E. Y., Zhuzhoma E. V., Zinina S. K.

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

Citation: Grines V. Z., Gurevich E. Y., Zhuzhoma E. V., Zinina S. K., Heteroclinic curves of Morse – Smale cascades and separators in magnetic field of plasma, Rus. J. Nonlin. Dyn., 2014, Vol. 10, No. 4, pp. 427-438

DOI:10.20537/nd1404003

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