Abstract
The stability of large rotationally invariant magnetization motions is analytically studied. By using the analytical form of rotationally invariant solutions of the Landau–Lifshitz–Gilbert (LLG) equation and by performing the perturbation analysis around these solutions, spin-wave instability conditions valid for arbitrary frequencies and amplitudes of the driving RF field are derived. It is demonstrated that sufficiently large magnetization motions are always stable with respect to spin-wave perturbations. It is also demonstrated that the occurrence of spin-wave instability of spatially uniform large scale magnetization dynamics may depend on history of its formation.
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