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Fractal Dynamics LLC

Scott T Hayes

Frederick G Farrar

Daniel H Schaubert

Arthur R Sindoris

Chance M Glenn, Sr

A communication system having a transmitter chaotic signal generator and a receiver chaotic signal generator which when uncoupled generate state signals along substantially identical chaotic attractor trajectories in an out of phase relation. A controller controls the transmitter chaotic signal generator to transmit a state signal having segments of the deterministic state trajectory which identify a subsequent length of the deterministic state trajectory matching an input N-bit sequence. A receiver coupler receives the transmitted state signal and, if the signal is above a threshold for a duration of approximately two bit periods, synchronizes the receiver chaotic signal generator to the segment of its deterministic state trajectory indicated by the state signal to generate, with or without coupling, the subsequent length of that state trajectory matching the input N-bit sequence. A receiver symbol detector reconstructs the N-bit sequence based on the receiver chaotic oscillator state signal.

Chaotic dynamics based apparatus and method for tracking through dropouts in symbolic dynamics digital communication signals

A system and method for sampling and reconstructing weak signals using the non-linear/chaotic dynamics of a chaotic system. Continuous-time disturbance signals introduced into a chaotic system are detected, amplified, and reconstructed from the discrete-time perturbations needed to maintain a controlled periodic orbit in the chaotic system.

Exponentially-amplified sampling and reconstruction of signals using

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.

Technique for controlling the symbolic dynamics of chaotic systems to

An inexpensive, flush mounted microstrip antenna which is frequency agile d has polarization diversity. The frequency and polarization of the antenna can be selected by selecting the location of shorting posts in the antenna. The use of switching diodes in place of shorting posts provides the means of electronically switching the frequency and polarization characteristics of the antenna. Frequency-agility provides frequency scannable microstrip antenna arrays which also have polarization diversity. Frequency-agility, polarization diversity and frequency scannable arrays are controllable by digital means such as a computer.

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Silver Spring, MD, United States of America

Scott T Hayes