  The time-asymptotic behavior of undamped, nonlinear oscillators with a random
frequency is investigated analytically and numerically. We find that averaged
quantities of physical interest, such as the oscillator's mechanical energy,
root-mean-square position and velocity, grow algebraically with time. The
scaling exponents and associated generalized diffusion constants are calculated
when the oscillator's potential energy grows as a power of its position.
Correlated noise yields anomalous diffusion exponents equal to half the value
found for white noise.
