TY - JOUR
T1 - Communicating with chaos using two-dimensional symbolic dynamics
AU - Lai, Ying Cheng
AU - Bollt, Erik
AU - Grebogi, Celso
N1 - Funding Information:
YCL was supported by NSF under Grant No. PHY-9722156 and by AFOSR under Grant No. F49620-98-1-0400. EMB was supported by NSF under grant No. DMS-9704639. CG was supported by DOE (Mathematical, Information, and Computation Sciences Division, High Performance Computing and Communication Program) and by an NSF-CNPq joint grant.
PY - 1999
Y1 - 1999
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.
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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 -