  We explore magnetic-field-driven chaos in magnetic skyrmions. Oscillating
magnetic fields induce nonlinear dynamics in skyrmions, arising from the
coupling of the secondary gyrotropic mode with a non-uniform, breathing-like
mode. Through micromagnetic simulations, we observe complex patterns of
hypotrochoidal motion in the orbital trajectories of the skyrmions, which are
interpreted using bifurcation diagrams and local Lyapunov exponents. Our
findings demonstrate that different nonlinear behaviors of skyrmions emerge at
distinct temporal stages, depending on the nonlinear dynamic parameters.
Investigating the abundant dynamic patterns of skyrmions during the emergence
of chaos not only enhances device reliability but also provides useful
guidelines for establishing chaos computing based on skyrmion dynamics.
