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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2017 Volume 13, Number 3, Pages 399–412 (Mi nd573)

This article is cited 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.

UDC: 517.938, 514.83

MSC: 37E30

Received: 25.05.2017
Accepted: 30.07.2017

DOI: 10.20537/nd1703007



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