Spin-wave nonlinear dynamics in an yttrium iron garnet sphere

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Abstract
A high-resolution experiment is reported for spin-wave dynamics in an yttrium iron garnet sphere. For certain parameter values we observe a series of closely spaced spin-wave modes. Interactions between excited modes lead to various dynamical phenomena including auto-oscillations, period-doubling cascades, quasiperiodicity, and chaos. Also observed are irregular relaxation oscillations, abrupt transitions to wide-band turbulence, and hysteresis at the Suhl threshold. A theoretical model is studied analytically and numerically, explaining a number of the experimental behavior patterns.