Abstract
The synchronization of nanopillar vortex spin-transfer nano-oscillators with external ac injected current is considered. A collective variables description is used to derive an analytical reduced-order model for the vortex core dynamics. This model is able to predict all the possible vortex oscillation regimes as well as the transition mechanisms among them. In particular, it is shown that hysteretic synchronization occurs at moderate ac currents. The analytical results are in good agreement with micromagnetic simulations.
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