Communicating with chaos using two-dimensional symbolic dynamics

Symbolic representations of controlled chaotic orbits produced by signal ge nerators can be used for communicating. In this Letter, communicating with chaos is investigated by using more realistic dynamical systems described b y two-dimensional invertible maps. The major difficulty is how to specify a generating partition so that a good symbolic dynamics can be defined. A so lution is proposed whereby hyperbolic chaotic saddles embedded in the attra ctor are exploited for digital encoding. Issues addressed include the chann el capacity and noise immunity when these saddles are utilized for communic ation. (C) 1999 Published by Elsevier Science B.V. All rights reserved.