“…This property plays an important role in numerical data storage since the information is encoded by the localization of DWs (see [2,15,20]). Because of these potential applications, DW dynamics in ferromagnetic wires is intensively investigated as well in Physics (see [16,19,[23][24][25][26][27]) as in Mathematics (see [3,8,10,17,22]). In [12,14,18], DW dynamics and magnetization reversal in ferromagnetic rings are investigated.…”