We report the experimental control of Floquet magnons in a magnetic vortex. Using microwave spectroscopy of vortex-state magnetic tunnel junctions, we find that self-induced Floquet sidebands form frequency combs whose existence depends on the vortex core orbit. By shifting the vortex core with an applied magnetic field, we switch the system between regular and Floquet magnons at identical drive conditions, demonstrating hysteretic control of the Floquet spectrum. A nonlinear vortex-magnon model shows that this behavior originates from multiple stable vortex gyration radii created by Floquet-mediated feedback. These results establish magnetic state initialization as a means to switch between regular and Floquet magnons.

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• Magnetic vortices
• Magnetization dynamics
• Magnonics
• Magnons
• Spin optoelectronics
• Spin waves
• Floquet systems
• Microwave techniques