Abstract
A high resolution study is made of spin-wave dynamics above the Suhl threshold in a sphere of yttrium iron garnet driven by microwave ferromagnetic resonance. In different regions of parameter space observed behavior includes: excitation of a single spatial spin-wave mode at threshold; when two modes are excited, low frequency collective oscillations with a period doubling route to chaos; nonperiodic relaxation oscillations when three modes are excited, quasiperiodic route to chaos; abrupt hysteretic onset of wide-band chaos. These results are accounted for in a unified way by numerical iteration of a model: coupled quantum oscillators representing the photons of the cavity and the magnons, including four-magnon scattering processes.
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