A single time series realization of the noise might be thought of as a deterministic function of small amplitude driving the system. One could rederive the normal form for such a deterministic function. However, since our derived normal form holds specifically for the case of white noise, we show that a simple replacement of the stochastic realization with a deterministic realization does not work. As an example, one could consider the following sinusoidal functions: 1 1 = cos͑10t͒/8000, ͑30a͒ 2 2 = sin͑4t͒/8000, ͑30b͒