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
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.
reconnections, separators, bifurcations
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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
\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.
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