Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2017, Volume 13, Number 3, Pages 399–412
DOI: https://doi.org/10.20537/nd1703007
(Mi nd573)
 

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
Full-text PDF (370 kB) Citations (5)
References:
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.
Funding agency Grant number
Russian Science Foundation 17-11-01041
Russian Foundation for Basic Research 15-01-03687-а
16-51-10005-Ko_a
HSE Basic Research Program ТЗ-90
Received: 25.05.2017
Accepted: 30.07.2017
Bibliographic databases:
Document Type: Article
UDC: 517.938, 514.83
MSC: 37E30
Language: Russian
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
Citation in format AMSBIB
\Bibitem{ZhuMedIsa17}
\by E.~V.~Zhuzhoma, V.~S.~Medvedev, N.~V.~Isaenkova
\paper On the topological structure of the magnetic field of regions of the photosphere
\jour Nelin. Dinam.
\yr 2017
\vol 13
\issue 3
\pages 399--412
\mathnet{http://mi.mathnet.ru/nd573}
\crossref{https://doi.org/10.20537/nd1703007}
\elib{https://elibrary.ru/item.asp?id=29993268}
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  • https://www.mathnet.ru/eng/nd573
  • https://www.mathnet.ru/eng/nd/v13/i3/p399
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Нелинейная динамика
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    Full-text PDF :73
    References:43
     
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