Abstract
One of the most intriguing features of any nonlinear system is its dynamic evolution. Starting from the steady state the system evolves to a linear periodic motion and then experiences a series of “phase transitions” known as bifurcation which lead to a final chaotic state. In order to better understand the nonlinear behavior in magnetic systems, an experimental and numerical study of bifurcation to chaos in auto-oscillations at ferromagnetic resonance is presented. Experiments have been performed with thin circular iron garnet films using perpendicular high-power ferromagnetic resonance. Taking the magnetic field as a variable parameter the bifurcation route to chaos has been investigated. The system has been modeled by the usual three magnetostatic mode interaction model derived from the macroscopic Hamiltonian. Along with the modeled signal, the time dependence of the complex Lyapunov exponent has been investigated for the three magnetostatic modes. The possibilities for controlling chaos with periodic perturbation have been studied and the reason for desynchronization bursts is discussed.
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