It goes without say that solar play a critical role in whole human society, because every aspects of our daily life and economy activities depend on it. However, the knowledge of space weather become more and more insufficient due to the recent development of space technology. The sun response for all kinds of space weather phenomenon and the furious eruptions occurred in solar atmosphere are root of many problems which effect our world. Thus, enhancing the research of solar eruption phenomenon is urgent for us. Meanwhile, Solar hold special mean because of the nearest star to earth, and solar various magnetized plasma, especially solar eruption, support us with abundant data for studying the behavior of magnetized plasma. This thesis is dedicated to the theoretical study of solar eruption phenomenon. A widely accepted theoretical model, catastrophe model, is the cornerstone for this thesis to interpret some recent observational conclusions. The main goal is to give some theoretical instruction for the analysis of observation data. The main content is divided into four chapters: In chapter one, an introduction of this thesis are given. In chapter two, the history of the catastrophe model related to solar eruption, several recent important papers, theoretical frame of this model and some aspects required further development are presented here. Recently, various new eruption phenomenon emerge due to the enhancing of observational technology, especially the rapid development of space telescope. A debated topic among these phenomenon is flare related rapid changes of photosphere magnetic field. In chapter three, the changes of photosphere field and its effect on the current eruption theoretical model are given. In chapter four, in order to give reasonable theoretical interpretation for these changes, we investigate the changes of the photosphere magnetic field during catastrophe jumping four typical boundary conditions based on catastrophe model. In chapter five, we summarize this thesis and indicate the direction of our further work.
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