Abstract
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.
Original language | English |
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Pages (from-to) | 3524-3527 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 85 |
Issue number | 16 |
Publication status | Published - 16 Oct 2000 |
Keywords
- MAP