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 Nelin. Dinam.: Year: Volume: Issue: Page: Find

 Nelin. Dinam., 2017, Volume 13, Number 4, Pages 573–578 (Mi nd586)

On the 75th birthday of A.P.Markeev

Scenario of reconnection in the solar corona with a simple discretization

O. V. Pochinkaa, E. V. Kruglovb, A. Y. Dolgonsovaa

a National Research University Higher School of Economics, ul. Bolshaya Pecherskaya 25/12, Nizhnii Novgorod, 603155, Russia
b Lobachevsky State University of Nizhny Novgorod, pr. Gagarina 23, Nizhnii Novgorod, 603950, Russia

Abstract: In this paper, one of the possible scenarios for the creation of heteroclinic separators in the solar corona is described and realized. This reconnection scenario connects the magnetic field with two zero points of different signs, the fan surfaces of which do not intersect, with a magnetic field with two zero points which are connected by two heteroclinic separators. The method of proof is to create a model of the magnetic field produced by the plasma in the solar corona and to study it using the methods of dynamical systems theory. Namely, in the space of vector fields on the sphere $S^3$ with two sources, two sinks and two saddles, we construct a simple arc with two saddle-node bifurcation points that connects the system without heteroclinic curves to a system with two heteroclinic curves. The discretization of this arc is also a simple arc in the space of diffeomorphisms. The results are new.

Keywords: reconnections, separators, bifurcations

 Funding Agency Grant Number Russian Science Foundation 17-11-01041 HSE Basic Research Program 90

DOI: https://doi.org/10.20537/nd1704009

Full text: PDF file (304 kB)
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UDC: 517.938.5+523.947
MSC: 37D15
Accepted:16.11.2017

Citation: O. V. Pochinka, E. V. Kruglov, A. Y. Dolgonsova, “Scenario of reconnection in the solar corona with a simple discretization”, Nelin. Dinam., 13:4 (2017), 573–578

Citation in format AMSBIB
\Bibitem{PocKruDol17} \by O.~V.~Pochinka, E.~V.~Kruglov, A.~Y.~Dolgonsova \paper Scenario of reconnection in the solar corona with a simple discretization \jour Nelin. Dinam. \yr 2017 \vol 13 \issue 4 \pages 573--578 \mathnet{http://mi.mathnet.ru/nd586} \crossref{https://doi.org/10.20537/nd1704009} \elib{http://elibrary.ru/item.asp?id=30780702}