Abstract
The phase diffusion coefficient and the mean frequency of a two-dimensional nonlinear oscillator perturbed by colored noise is theoretically predicted and compared with numerical simulations of the Langevin system. At high oscillator frequencies, the first-order perturbation approximation of Demir is observed to yield inaccurate results for the phase diffusion coefficient when the spectrum of the noise sources decay faster than ω-2. A novel asymptotic approach which describes the diffusion coefficient in such instances is developed.
Original language | English |
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Pages (from-to) | 435-439 |
Number of pages | 5 |
Journal | IEEE Transactions on Circuits and Systems II: Express Briefs |
Volume | 54 |
Issue number | 5 |
DOIs | |
Publication status | Published - 7 May 2007 |
Externally published | Yes |
Keywords
- Demir's approximation
- diffusion coefficient
- Liouville equation
- mean frequency
- Monte Carlo simulation