Geodesic
Methods of computational topology for the analysis of dynamics of active regions of the Sun
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 79-93

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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. 
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     author = {N. G. Makarenko and D. B. Malkova and M. L. Machin and I. S. Knyazeva and I. N. Makarenko},
     title = {Methods of computational topology for the analysis of dynamics of active regions of the {Sun}},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a5/}
}
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N. G. Makarenko; D. B. Malkova; M. L. Machin; I. S. Knyazeva; I. N. Makarenko. Methods of computational topology for the analysis of dynamics of active regions of the Sun. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 79-93. http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a5/