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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2013 Volume 18, Issue 2, Pages 79–93 (Mi fpm1500)

This article is cited in 4 papers

Methods of computational topology for the analysis of dynamics of active regions of the Sun

N. G. Makarenkoab, D. B. Malkovac, M. L. Machinc, I. S. Knyazevaa, I. N. Makarenkod

a Central Astronomical Observatory of the Russian Academy of Sciences, St. Petersburg, Russia
b Institute of Informatics and Control Problems, Almaty, Kazakhstan
c Laboratory of Discrete and Computational Geometry, Yaroslavl State University, Yaroslavl, Russia
d School of Mathematics and Statistics, Newcastle University, Newcastle, United Kingdom

Abstract: The aim of this work is to diagnose pre-flare dynamics of magnetic fields in the active regions of the Sun on the HMI SDO magnetograms. We use a tool based on the methods of the geometry of random fields and computational topology. The results show that the proposed formalism allows one to find some precursors of major flares for practically significant time slots.

UDC: 523.98


 English version:
Journal of Mathematical Sciences (New York), 2014, 203:6, 806–815

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