Learning the grammar of a chaotic dynamical system in a format suitable for controlling symbol dynamics and communications

E.M Bollt; M Dolnik

doi:10.1109/COC.1997.626671

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Conference proceeding

Learning the grammar of a chaotic dynamical system in a format suitable for controlling symbol dynamics and communications

E.M Bollt and M Dolnik

1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329), Vol.3, pp.573-577 vol.3

1997

DOI: https://doi.org/10.1109/COC.1997.626671

Abstract

Chaos

Chaotic communication

Chemistry

Communication system control

Control systems

Electronic circuits

Encoding

Information theory

Mathematics

Signal generators

The unique possibility of encoding information into symbol dynamics corresponding to a chaotic transmitter has been demonstrated by Hayes and Grebogi (1993, 1994) and the authors (1997). To take advantage of sensitive dependence by using only small deliberate parameter perturbations requires that we respect the grammar of the symbol dynamics which represents the physical dynamical system. We present a new algorithm to learn the observed grammar of a symbol dynamics in terms of observed transitions between bins defined by the symbol generating partition.

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Title: Learning the grammar of a chaotic dynamical system in a format suitable for controlling symbol dynamics and communications
Creators: E.M Bollt - Dept. of Math., US Naval Acad., Annapolis, MD, USA
M Dolnik
Publication Details: 1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329), Vol.3, pp.573-577 vol.3
Publisher: IEEE
Identifiers: 9924086129501921
Academic Unit: Department of Chemistry
Language: English
Resource Type: Conference proceeding

Learning the grammar of a chaotic dynamical system in a format suitable for controlling symbol dynamics and communications

Abstract

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Details

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