On the stability of steady-states of a two-dimensional system of ferromagnetic nanowires

We investigate the stability features of steady-states of a two-dimensional system of ferromagnetic nanowires.We constitute a systemwith the finite number of nanowires arranged on the (e1, e2) plane, where (e1, e2, e3) is the canonical basis of ℝ3. We consider two cases: in the first case, each nanowire is considered to be of infinite length, whereas in the second case, we deal with finite length nanowires to design the system. In both cases, we establish a sufficient condition under which these steady-states are shown to be exponentially stable.