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