Controlling chaos in a thin circular yttrium iron garnet film

Abstract

Ott, Grebogi, and Yorke [Phys. Rev. Lett. 64, 1196 (1990)] proposed that the chaotic oscillations of nonlinear dynamic systems could be stabilized onto periodic orbits by introducing weak perturbations upon an available parameter of the system. In the present work, stabilization and control of chaos are demonstrated for the first time in an rf-pumped magnetostatic-resonance instability experiment on a thin circular yttrium iron garnet film, using open-loop and closed-loop feedback methods to modulate the static magnetic field. Computer simulations using a standard model have yielded qualitative agreement with the experimental results.