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# On the topological structure of the magnetic field of regions of the photosphere

2017, Vol. 13, No. 3, pp.  399-412

Author(s): Zhuzhoma E. V., Medvedev V. S., Isaenkova N. V.

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
Citation: Zhuzhoma E. V., Medvedev V. S., Isaenkova N. V., On the topological structure of the magnetic field of regions of the photosphere, Rus. J. Nonlin. Dyn., 2017, Vol. 13, No. 3, pp.  399-412
DOI:10.20537/nd1703007