Phase characterization of chaos

Tolga Yalçinkaya, Ying Cheng Lai

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Abstract

The phase of a chaotic trajectory in autonomous flows is often ignored because of the wide use of the extremely popular Poincaré surface-of-section technique in the study of chaotic systems. We present evidence that, in general, a chaotic flow is practically composed of a small number of intrinsic modes of proper rotations from which the phase can be computed via the Hilbert transform. The fluctuations of the phase about that of a uniform rotation can be described by fractional Brownian random processes. Implications to nonlinear digital communications are pointed out.

Original languageEnglish (US)
Pages (from-to)3885-3888
Number of pages4
JournalPhysical Review Letters
Volume79
Issue number20
DOIs
StatePublished - Jan 1 1997
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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