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This article is cited in 5 scientific papers (total in 5 papers)
Original papers
On the topological structure of the magnetic field of regions of the photosphere
E. V. Zhuzhomaa, V. S. Medvedeva, N. V. Isaenkovab a National research University “Higher school of Economics”, ul. Bolshaya Pecherskaya 25/12, Nizhni Novgorod, 603005, Russia
b Nizhniy Novgorod Academy of the Ministry of the Interior of the Russian Federation, Ankudinovskoe Shosse 3, Nizhni Novgorod, 603950, Russia
Abstract:
In this paper, using methods of Morse – Smale dynamical systems, we consider the topological structure of the magnetic field of regions of the photosphere for a point-charge model. For an arbitrary number of charges (regardless of their location), without assuming a potentiality of the field $\boldsymbol{\vec B}$ (and hence without applying specific formulas), we give estimates that connect the numbers of charges of a certain type with the numbers of null-points. For the boundary estimates, we describe the topological structure of the magnetic field. We present a bifurcation of the birth of a large number of separators.
Keywords:
dynamical Morse–Smale system, null-points, separator.
Received: 25.05.2017 Accepted: 30.07.2017
Citation:
E. V. Zhuzhoma, V. S. Medvedev, N. V. Isaenkova, “On the topological structure of the magnetic field of regions of the photosphere”, Nelin. Dinam., 13:3 (2017), 399–412
Linking options:
https://www.mathnet.ru/eng/nd573 https://www.mathnet.ru/eng/nd/v13/i3/p399
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Abstract page: | 244 | Full-text PDF : | 73 | References: | 43 |
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