Stabilization of Steady‐States in a Three Dimensional Network of Ferromagnetic Nanowires

ABSTRACT In this work, we analytically investigate the stability of steady‐states in a three‐dimensional network of ferromagnetic nanowires. We construct a three‐dimensional network nanostructure comprising an array of straight nanowires aligned parallel to each other at an equidistance. The analysis is performed within the classical framework of the Landau–Lifshitz equation. We consider the finite network model consisting of infinite‐ and finite‐length nanowires. For each case, we derive sufficient conditions demonstrating that the steady‐states are exponentially stable. We remark that these conditions depend on the damping and anisotropy coefficients and remain unaffected by the overall size of the network and the lengths of the nanowires.