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 language | English (US) |
|---|---|
| Pages (from-to) | 3885-3888 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 79 |
| Issue number | 20 |
| DOIs | |
| State | Published - 1997 |
| Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy(all)