Communicating with chaos using two-dimensional symbolic dynamics

Ying-Cheng Lai, Erik Bollt, Celso Grebogi

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)


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. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

Original languageEnglish
Pages (from-to)75-81
Number of pages7
JournalPhysics Letters A
Issue number1-2
Publication statusPublished - 3 May 1999


  • generalized synchronization
  • systems
  • oscillators
  • signals


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