A TECHNIQUE FOR MEASURING FRACTAL DIMENSIONS FROM TIME-SERIES ON A REAL-TIME SCALE

A dedicated electronic instrument for measuring fractal dimension of chaotic systems called "dimensiometer" is described. The pointwise correlation dimension can be obtained from experimental time series on a real-time scale. This technique employs a discrete sequence of the time intervals between the successive intersections of a single variable x(t) and an arbitrary level c. The "dimensiometer" is tested by means of a simple electronic chaos oscillator. The experimental results are compared with the numerical calculations carried out for the corresponding dynamical model.