“…Besides the energy conservation requirement given by the frequency ratio, the 3M scattering is determined by the strength of interaction between the magnon modes involved in the process. ,, In nanomagnets possessing the symmetry of an orthogonal coordinate system (e.g., rectangular, circular, and elliptical) and with negligible magnetic anisotropy, the number of 3M processes allowed by symmetry is greatly reduced, as recently shown in refs , , and . However, irregularities of demagnetization field at the nanomagnet’s edges, as well as inevitable structural imperfections, , can diminish the symmetry restrictions and lead to a finite, albeit small, magnon interaction.…”