Chaos and chaotic transients in an yttrium iron garnet sphere

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Abstract
We present detailed results of studies of chaos and chaotic transients involving spin waves in an yttrium iron garnet sphere. We drive the ferromagnetic resonance of this system at the first-order Suhl instability using driving frequencies between 2.0 and 3.4 GHz. In some regions of parameter space we see chaotic transients, while in others we see quasiperiodic oscillations or stable chaos. We characterize these states by various means, such as dimension or amplitude. We also present some results of a three-spin-wave-mode calculation based on the Landau-Lifshitz equation. This calculation produces phenomena similar to some of those seen in the experiment but is not sufficient to reproduce all the behavior that we see. We believe that a calculation involving more spin-wave modes is necessary to reproduce many of our experimental results.