Technique for controlling the symbolic dynamics of chaotic syste

Details Technique for controlling the symbolic dynamics of chaotic syste Technique for controlling the symbolic dynamics of chaotic syste

1993-04-23

1995-07-11

Gordon, Paul P.

Boots, shoes, and leggings

380 46, 331 78, G05B 1302, H04L 904, H03B 2900

Patent

active

054326974

ABSTRACT:
A method and apparatus for encoding information on a chaotic system by causing tiny perturbations in an accessible system control variable, or trajectory, uses the natural underlying symbolic dynamics of the system to encode the information. The system is allowed to behave chaotically even while tracking a pre-specified information-containing symbol sequence, thus maximizing the efficiency of information encoding and transmission.

REFERENCES:
patent: 5007087 (1991-04-01), Bernstein et al.
patent: 5245660 (1993-09-01), Pecora et al.
Edward Ott, Celso Grebogi, and James A. Yorke, "Controlling Chaos," The Aican Physical Society, vol. 64, No. 11, pp. 1196-1199, Mar. 12, 1990.
Scott Hayes, Celso Grebogi and Edward Ott, "Information Transmission Using Chaos", Army Research Laboratory, Feb. 1993.
Peterson, Ivars, "Physical Science, Adding Chaos to Achieve Synchrony", Science News, Oct. 12, 1991, p. 239.
Pecors, L. & Carroll, T., "Driving Systems with Chaotic Signals", Physical Review A, vol. 44, No. 4, Aug. 15, 1991, pp. 2374-2383.
Crutchfield, J. P. et al., "Chaos", Scientific American, Dec. 1986, pp. 46-57.
Pecora, L. & Carroll, T., "Pseudoperiodic Driving: Eliminating Multiple Domains of Attraction using Chaos", Physical Review Letters, vol. 67, No. 8, Aug. 1991, pp. 945-948.

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