Experimental evaluation of the d-infinite parameter to characterize chaotic dynamics

The d∞ parameter is an asymptotic measure introduced in order to characterise chaotic dynamics. This is computed as the asymptotic distance between nearby trajectories, and is able to take into account both the stretching and the folding phenomena. In this work, after a brief overview on theoretical aspects of the measure, a suitable approach for the experimental evaluation of the d∞ parameter is described. This is applied to chaotic circuits through the use of an analog circuitry able to perform in real-time and in a totally analog fashion the computation of the of the d∞ parameter. Experimental results referring to Chua's and Lorenz circuits are reported in order to validate the approach