Fractal properties of active region and flare

Solar activity research at the Baikal Astrophysical Observatory of ISTP SB RAS

“…Synchronous observations in the Hα and 171 Ǻ FeXI lines of the transition zone from the chromosphere to the corona discovered quasiperiodic (10-20 min) variations in scaling parameters ( Figure 11) correlating with flares [Golovko et al, 2006;.…”

Fractal properties of active regions

“…To answer to this question, we applied other techniques-computation of singularity spectra, first used in solar physics by Lawrence et al [16], and the micro-canonical method of multifractal analysis, developed in [19,20,27]. To test how well the results obtained using the two methods were in agreement, we compared the temporal realizations of the scaling of the structure function and the maximum of the H¨older exponent in the multifractal spectrum [28]. The good correlation of these two curves for the set of chromospheric filtergrams of active regions considered demonstrates that both these methods provide the information about the fractal properties of the images.…”

“…In our earlier papers [1][2][3][4], we investigated the fractal properties of the intensities in some spectral lines of the solar chromosphere and of the magnetic fields of solar active regions using structure functions, multi-fractal spectra, and the multi-fractal segmentation. The general scheme for each of these methods is the same.…”

“…To study the dynamic regimes of possible turbulence in solar active regions, a fractal analysis of narrow-band images of the chromosphere and transition layer was carried out in [1][2][3][4]. This approach was motivated by the opportunity of obtaining fundamentally new information based on state-of-theart digital images of the solar atmosphere with high spatial and temporal resolution.…”