Abstract
Phase and amplitude dynamics of a subcritical period-doubling bifurcation are experimentally characterized in the nonlinear strain response (at f\ensuremath{\approxeq}10 kHz) of a magnetostrictive oscillator. Low frequency (${\mathit{f}}_{\mathrm{mod}}$\ensuremath{\le}0.1 Hz) modulation of the observed subcritical bifurcation provides a phase-reversing time series whose power spectrum tends to conceal frequency components. An event counting technique developed for characterizing the phase-slip dynamics of the time series reveals a substantial component at half the modulation frequency (f/2) as well as at f. The event counting technique is applied to observe stochastic resonance for the first time in a tristable system.
Published Version
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