Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Analysis of the Solar magnetograms evolution using a spectral gap of critical nets. / Knyazeva, I. S.; Makarenko, N. G.; Makarenko, I.; Vdovina, A.; Urtiev, F. A.
5TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES (IC-MSQUARE 2016). ed. / EC Vagenas; DS Vlachos. IOP Publishing Ltd., 2016. (Journal of Physics Conference Series; Vol. 738).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
}
TY - GEN
T1 - Analysis of the Solar magnetograms evolution using a spectral gap of critical nets
AU - Knyazeva, I. S.
AU - Makarenko, N. G.
AU - Makarenko, I.
AU - Vdovina, A.
AU - Urtiev, F. A.
PY - 2016
Y1 - 2016
N2 - Analyzing the dynamics of the photospheric magnetic field of the Sun is one of the most important problems in Solar Physics. Different estimates of the complexity of magnetograms of the Sun Active Regions (AR) are used to predict the time and the strength of the solar flares, but the quality of the forecasts are still insufficient. A magnetogram is a highly variable discrete image with a very large number of local extrema. We use an idea of extraction of stable critical points within a framework of the scale-space theory. Two sequential convolutions of the image with the same Gaussian kernel and calculating the difference between the produced images allow to get a stable estimation of the Laplacian of the image. A critical graph is constructed using maxima and minima of the Laplacian. Dynamics of critical graphs can be used for diagnostics of dynamical regimes of ARs. The so-called spectral gap is proposed to be used as a numerical descriptor. This is the difference between the two largest eigenvalues of the discrete Laplacian of the graph constructed on critical networks. We investigated several ARs and found that there was a sudden increase in the spectral gap values one or two days before the flares.
AB - Analyzing the dynamics of the photospheric magnetic field of the Sun is one of the most important problems in Solar Physics. Different estimates of the complexity of magnetograms of the Sun Active Regions (AR) are used to predict the time and the strength of the solar flares, but the quality of the forecasts are still insufficient. A magnetogram is a highly variable discrete image with a very large number of local extrema. We use an idea of extraction of stable critical points within a framework of the scale-space theory. Two sequential convolutions of the image with the same Gaussian kernel and calculating the difference between the produced images allow to get a stable estimation of the Laplacian of the image. A critical graph is constructed using maxima and minima of the Laplacian. Dynamics of critical graphs can be used for diagnostics of dynamical regimes of ARs. The so-called spectral gap is proposed to be used as a numerical descriptor. This is the difference between the two largest eigenvalues of the discrete Laplacian of the graph constructed on critical networks. We investigated several ARs and found that there was a sudden increase in the spectral gap values one or two days before the flares.
KW - TOPOLOGY
U2 - 10.1088/1742-6596/738/1/012070
DO - 10.1088/1742-6596/738/1/012070
M3 - статья в сборнике материалов конференции
T3 - Journal of Physics Conference Series
BT - 5TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES (IC-MSQUARE 2016)
A2 - Vagenas, EC
A2 - Vlachos, DS
PB - IOP Publishing Ltd.
Y2 - 22 May 2016 through 25 May 2016
ER -
ID: 9325916