Kg. Wang et J. Masoliver, LINEAR-OSCILLATORS DRIVEN BY GAUSSIAN COLORED NOISE - CROSSOVERS AND PROBABILITY-DISTRIBUTIONS, Physica. A, 231(4), 1996, pp. 615-630
We study the statistical properties of linear oscillators driven by bo
th internal and external Gaussian colored noise. We obtain the varianc
es of displacement and velocity and analyze their asymptotic behavior
and crossovers. We also derive exact equations for the joint and margi
nal probability density functions of the system and find their solutio
ns. In order to test our general analysis, we study the case of Ornste
in-Uhlenbeck driving noise.