Methods of computational topology for Solar Activity forecasting (Extended abstract)

Abstract

Solar activity is a space-time complex of events which produced by the Sun magnetic fields. One of the results of this activity is a huge plasma ejection which called solar flares. The solar flares occurs mainly in the areas with an especially strong magnetic fields called Active Regions (AR). Observation phenomenology indicates that significant change in the magnetic field topology precede the strong flares. We investigated changes in topology by the methods of computational topology. For this purpose the high frequency temporal sequence of AR magnetograms containing flares has been analyzed. Such data are available from the space observatory SDO. We seek distinctive patterns that could be associated with the flares through the tracking evolution of Euler characteristics and Betti numbers. These characteristics of course do not pretend on the comprehensive description of topological complexity but there are simple in construction and intuitive clear. We found that the large variations of the Betti numbers and Euler characteristics are preceded or accompanied by a large flares. These results give us hope that the approach based on computational topology could be useful in the task of monitoring of magnetic field evolution and should be developed in future.