Solar Prominence Models—A New Perspective via the Theory of Dynamical Systems

摘要

We tackle the 2D models of Kuperus-Raadu and Kippenhahn-Schluter, extended by Malherbes and Priest, via the geometric methods of the theory of dynamical systems. We treat the models as phase portraits, and discuss them from the standpoint of mathematics only, without regard to physical significance. Some phase portraits are very intricated and we raise questions about them. We also suggest possible phase portraits. This paper tries to draw attention to new tools, used in celestial mechanics, as useful for the solar physics too and for a suitable interdisciplinary cooperation.