ABSTRACT
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-func- tion expression for the Lyapunov parameter (which describes the sensitivity of the sys- tem 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 pre- dicts universal effects for the noise. These predictions are in good agreement with numerical experiments.
