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 →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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/nd573
https://www.mathnet.ru/eng/nd/v13/i3/p399
This publication is cited in the following 5 articles:
V. Z. Grines, E. V. Zhuzhoma, O. V. Pochinka, “Dynamical Systems and Topology of Magnetic Fields in Conducting Medium”, J Math Sci, 253:5 (2021), 676
V. V. Alekseev, N. G. Makarenko, I. S. Knyazeva, “Graph dynamics of solar active regions: Morse-Smale complexes and multiscale graphs of magnetograms”, Astron. Lett.-J. Astron. Space Astrophys., 46:7 (2020), 488–500
N. V. Isaenkova, E. V. Zhuzhoma, “O sootvetstvii bazisnykh mnozhestv A-endomorfizmov i A-diffeomorfizmov”, Chelyab. fiz.-matem. zhurn., 3:3 (2018), 295–310
V. Z. Grines, E. V. Zhuzhoma, O. V. Pochinka, “Dinamicheskie sistemy i topologiya magnitnykh polei v provodyaschei srede”, Differentsialnye i funktsionalno-differentsialnye uravneniya, SMFN, 63, no. 3, Rossiiskii universitet druzhby narodov, M., 2017, 455–474
Sergei Belyakov, Tatiana Klyashko, “XXI (Higher Education in Russia in the First Decade of the XXI Century)”, SSRN Journal, 2013
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