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

Erik M. Bollt, Theodore Stanford, Ying-Cheng Lai, Karol Zyczkowski

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Abstract

This paper investigates the consequence of misplaced partitions in chaotic systems. Specifically, it addresses how the topological entropy, perhaps one of the most important dynamical invariants that one intends to compute from symbolic dynamics, behaves as a parameter, d, which characterizes the amount of misplaced partition, is changed. It is found that the topological entropy as a function of d is devil's staircase-like, but surprisingly nonmonotone. Results are established by performing numerical computations for 1D and 2D maps and by rigorous analyses for the tent map.

Original languageEnglish (US)
Pages (from-to)3524-3527
Number of pages4
JournalPhysical Review Letters
Volume85
Issue number16
DOIs
StatePublished - Oct 16 2000

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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