Phase characterization of chaos

Tolga Yalçinkaya, Ying-Cheng Lai

Research output: Contribution to journalArticle

120 Citations (Scopus)

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
StatePublished - 1997
Externally publishedYes

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chaos
pulse communication
random processes
trajectories

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Yalçinkaya, T., & Lai, Y-C. (1997). Phase characterization of chaos. Physical Review Letters, 79(20), 3885-3888.

Phase characterization of chaos. / Yalçinkaya, Tolga; Lai, Ying-Cheng.

In: Physical Review Letters, Vol. 79, No. 20, 1997, p. 3885-3888.

Research output: Contribution to journalArticle

Yalçinkaya, T & Lai, Y-C 1997, 'Phase characterization of chaos', Physical Review Letters, vol. 79, no. 20, pp. 3885-3888.
Yalçinkaya, Tolga ; Lai, Ying-Cheng. / Phase characterization of chaos. In: Physical Review Letters. 1997 ; Vol. 79, No. 20. pp. 3885-3888.
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