Journal
PHYSICAL REVIEW LETTERS
Volume 85, Issue 16, Pages 3524-3527Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevLett.85.3524
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A practical and popular technique to extract the symbolic dynamics from experimentally measured chaotic time series is the threshold-crossing method, by which an arbitrary partition is utilized fur determining the symbols. We address to what extent the symbolic dynamics so obtained can faithfully represent the phase-space dynamics. Our principal result is that such a practice can lead to a severe misrepresentation of the dynamical system. The measured topological entropy is a Devil's staircase-like, but surprisingly nonmonotone, function of a parameter characterizing the amount of misplacement of the partition.
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