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Validity of Threshold-Crossing Analysis of Symbolic Dynamics from Chaotic Time Series
2000
Physical Review Letters
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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 for 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 practice leads to a severe misrepresentation of the dynamical system. The measured topological entropy is a Devil's staircase-like,
doi:10.1103/physrevlett.85.3524
pmid:11030937
fatcat:wybjh6rcobdxjo3uz7jn4o67xe