Phase characterization of chaos

Tolga Yalcinkaya, 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 Poincare 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
Pages (from-to)3885-3888
Number of pages4
JournalPhysical Review Letters
Volume79
Issue number20
DOIs
Publication statusPublished - 17 Nov 1997

Cite this

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

In: Physical Review Letters, Vol. 79, No. 20, 17.11.1997, p. 3885-3888.

Research output: Contribution to journalArticle

Yalcinkaya, T & Lai, Y-C 1997, 'Phase characterization of chaos' Physical Review Letters, vol. 79, no. 20, pp. 3885-3888. https://doi.org/10.1103/PhysRevLett.79.3885
Yalcinkaya, Tolga ; Lai, Ying-Cheng. / Phase characterization of chaos. In: Physical Review Letters. 1997 ; Vol. 79, No. 20. pp. 3885-3888.
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