Communicating with chaos using two-dimensional symbolic dynamics

Ying Cheng Lai; Erik Bollt; Celso Grebogi

doi:10.1016/S0375-9601(99)00175-9

Communicating with chaos using two-dimensional symbolic dynamics

Ying Cheng Lai, Erik Bollt, Celso Grebogi

Engineering, Ira A. Fulton Schools of (IAFSE)

Research output: Contribution to journal › Article

39 Scopus citations

Abstract

Symbolic representations of controlled chaotic orbits produced by signal generators can be used for communicating. In this Letter, communicating with chaos is investigated by using more realistic dynamical systems described by two-dimensional invertible maps. The major difficulty is how to specify a generating partition so that a good symbolic dynamics can be defined. A solution is proposed whereby hyperbolic chaotic saddles embedded in the attractor are exploited for digital encoding. Issues addressed include the channel capacity and noise immunity when these saddles are utilized for communication.

Original language	English (US)
Pages (from-to)	75-81
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	255
Issue number	1-2
DOIs	https://doi.org/10.1016/S0375-9601(99)00175-9
State	Published - Jan 1 1999

Fingerprint

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

Lai, Y. C., Bollt, E., & Grebogi, C. (1999). Communicating with chaos using two-dimensional symbolic dynamics. Physics Letters, Section A: General, Atomic and Solid State Physics, 255(1-2), 75-81. https://doi.org/10.1016/S0375-9601(99)00175-9

@article{d094771463cb4f21919d872a3a31893d,

title = "Communicating with chaos using two-dimensional symbolic dynamics",

abstract = "Symbolic representations of controlled chaotic orbits produced by signal generators can be used for communicating. In this Letter, communicating with chaos is investigated by using more realistic dynamical systems described by two-dimensional invertible maps. The major difficulty is how to specify a generating partition so that a good symbolic dynamics can be defined. A solution is proposed whereby hyperbolic chaotic saddles embedded in the attractor are exploited for digital encoding. Issues addressed include the channel capacity and noise immunity when these saddles are utilized for communication.",

author = "Lai, {Ying Cheng} and Erik Bollt and Celso Grebogi",

year = "1999",

month = jan

day = "1",

doi = "10.1016/S0375-9601(99)00175-9",

language = "English (US)",

volume = "255",

pages = "75--81",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier",

number = "1-2",

}

TY - JOUR

T1 - Communicating with chaos using two-dimensional symbolic dynamics

AU - Lai, Ying Cheng

AU - Bollt, Erik

AU - Grebogi, Celso

PY - 1999/1/1

Y1 - 1999/1/1

N2 - Symbolic representations of controlled chaotic orbits produced by signal generators can be used for communicating. In this Letter, communicating with chaos is investigated by using more realistic dynamical systems described by two-dimensional invertible maps. The major difficulty is how to specify a generating partition so that a good symbolic dynamics can be defined. A solution is proposed whereby hyperbolic chaotic saddles embedded in the attractor are exploited for digital encoding. Issues addressed include the channel capacity and noise immunity when these saddles are utilized for communication.

AB - Symbolic representations of controlled chaotic orbits produced by signal generators can be used for communicating. In this Letter, communicating with chaos is investigated by using more realistic dynamical systems described by two-dimensional invertible maps. The major difficulty is how to specify a generating partition so that a good symbolic dynamics can be defined. A solution is proposed whereby hyperbolic chaotic saddles embedded in the attractor are exploited for digital encoding. Issues addressed include the channel capacity and noise immunity when these saddles are utilized for communication.

UR - http://www.scopus.com/inward/record.url?scp=0002898888&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002898888&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(99)00175-9

DO - 10.1016/S0375-9601(99)00175-9

M3 - Article

AN - SCOPUS:0002898888

VL - 255

SP - 75

EP - 81

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 1-2

ER -

Access to Document

10.1016/S0375-9601(99)00175-9