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 language | English |
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Pages (from-to) | 3885-3888 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 79 |
Issue number | 20 |
DOIs | |
Publication status | Published - 17 Nov 1997 |