Abstract
The first minimum of mutual information (MI) is the most widely used criterion for choosing delay in delay-coordinates reconstruction of chaotic attractors. Recently, we proposed to use the independence measures grid occupancy (GO), quasientropy (QE), and Csiszar's generalized mutual information (GMI) as alternative criteria for choosing delay. In this paper, we study whether these criteria can outperform the MI in certain aspect. We generalize the definition of quality factor (QF), originally defined for QE, to make it also applicable for GO and GMI. We show that GO, QE, and GMI can have better QFs than that of MI, which means that they can have more prominent minima than the MI has. We also verify these results by numerical experiments.
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