... 0:4)andwavenumber 106m1, we obtained a wave period of 461 s for the thermal mode and 1,256 s for the slow mode, damping times of 1,207 s for the thermal mode and 26 s for the slow mode, and ... Lynch et al. 20 08; DeVore and Antiochos 20 08) , the catastrophe model (CM,see Priest and Forbes 2000), and the toroidal instability model (TI, see Chen 1 989 ;Kliem and T¨or¨ok 2006). Our results ... Dublin, IrelandS.S. Hasan and R.J. Rutten (eds.), Magnetic Coupling between the Interior and Atmosphere of the Sun, Astrophysics and Space Science Proceedings,DOI 10.1007/9 78- 3-642-0 285 9-5 87 ,c...