Phase Diffusion Coefficient for Oscillators Perturbed by Colored Noise

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 omega^-2. A novel asymptotic approach which describes the diffusion coefficient in such instances is developed