Validity of threshold-crossing analysis of symbolic dynamics from chaotic time series

E M Bollt, T Stanford, Y C Lai, K Zyczkowski, Ying-Cheng Lai

Research output: Contribution to journalArticlepeer-review

60 Citations (Scopus)


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 languageEnglish
Pages (from-to)3524-3527
Number of pages4
JournalPhysical Review Letters
Issue number16
Publication statusPublished - 16 Oct 2000


  • MAP

Cite this