Key points are not available for this paper at this time.
The effect of noise on systems which undergo period-doubling transitions to chaos is studied. With the aid of nonequilibrium field-theoretic techniques, a correlation-function expression for the Lyapunov parameter (which describes the sensitivity of the system to initial conditions) is derived and shown to satisfy a scaling theory. Since these transitions have previously been shown to exhibit universal behavior, this theory predicts universal effects for the noise. These predictions are in good agreement with numerical experiments.
Shraiman et al. (Mon,) studied this question.