Geodesic
On the topological structure of the magnetic field of regions of the photosphere
Russian journal of nonlinear dynamics, Tome 13 (2017) no. 3, pp. 399-412

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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. 
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     title = {On the topological structure of the magnetic field of regions of the photosphere},
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E. V. Zhuzhoma; V. S. Medvedev; N. V. Isaenkova. On the topological structure of the magnetic field of regions of the photosphere. Russian journal of nonlinear dynamics, Tome 13 (2017) no. 3, pp. 399-412. http://geodesic.mathdoc.fr/item/ND_2017_13_3_a6/