SPECTRUM OF THE STOCHASTICALLY FORCED DUFFING-HOLMES OSCILLATOR

The Brundsen-Holmes method of power spectrum estimation for the Duffin g-Holmes oscillator is applied to the case of weak quasiperiodic excit ation and then extended to weak colored noise excitation with any spec ified spectral density. A novel model of near-Gaussian noise is introd uced to achieve this extension. The results obtained by this approach coincide with and extend those obtained by Stone and Holmes' applicati on of the Fokker-Planck equation. In particular, our results confirm S tone's conjecture that the expression for the mean time between succes sive maxima in the case of colored noise is similar to that for white noise.