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2013
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    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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