Fig. 2.

Normalized complexity as a function of data set size during a dynamical transition. The data set examined in this diagram consisted of 5,000 points calculated with the periodic van der Pol system and 5,000 random numbers uniformly distributed on [0,1]. For data set sizes less than or equal to 5,000 points the complexity corresponds to that expected from the periodic van der Pol system. For data set sizes greater than 5,000 points, the fraction of the time series generated by a random number generator increases and the complexity, even though normalized, increases. The uncertainty in the estimated normalized complexity also increases. All complexity calculations were performed with a five symbol alphabet. Thirty surrogates were used in each calculation of normalized complexity