VyacheslavZ. Grines, Elena Ya. Gurevich, Evgenii V. Zhuzhoma, Svetlana Kh. Zinina, “Heteroclinic curves of Morse–Smale cascades and separators in magnetic field of plasma”, Nelin. Dinam., 2014, Volume 10, Number 4,Pages <nobr>427

This article is cited in 9 papers

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

VyacheslavZ. Grines^a, Elena Ya. Gurevich^b, Evgenii V. Zhuzhoma^b, Svetlana Kh. Zinina^c

^a N. I. Lobachevskii Nizhnii Novgorod State University, Gagarina pr. 23, Nizhnii Novgorod, 603950, Russia
^b National Research University Higher School of Economics, Bolshaya Pecherskaya 25/12, Nizhnii Novgorod, 603155, Russia
^c N. P. Ogarev State University of Mordovia, Bolshevistskaya 68, Saransk, 430005, Russia

Abstract: 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.

UDC: 517.938, 514.83

MSC: 37E30

Received: 24.11.2014
Revised: 04.12.2014