- Author
- Simiu, E. | Frey, M. R.
- Title
- Spectrum of the Stochastically Forced Duffing-Holmes Oscillator.
- Coporate
- National Institute of Standards and Technology, Gaithersburg, MD
- Journal
- Physics Letters A, Vol. 177, 199-202, 1993
- Sponsor
- Office of Naval Research, Washington, DC
- Contract
- N00014-93-I-0248 N00014-93-F-0028
- Keywords
- oscillators | spectral density | noise (sound)
- Abstract
- The Brundsen-Holmes method of power spectrum estimation for the Duffing-Holmes oscillator is applied to the case of weak quasiperiodic excitation and then extended to weak colored noise excitation with any specified spectral density. A novel model of near-Gaussian noise is introduced to achieve this extension. The results obtained by this approach coincide with and extend those obtained by Stone and Holmes' application of the Fokker-Planck equation. In particular, our results confirm Stone's conjecture that the expression for the mean time between successive maxima in the case of colored noise is similar to that for white noise.