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

E. V. Zhuzhoma ; V. S. Medvedev ; N. V. Isaenkova

Russian journal of nonlinear dynamics, Tome 13 (2017) no. 3, pp. 399-412.

Résumé

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.

Détail

Keywords: dynamical Morse–Smale system, null-points, separator.

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