Physical Review Letters · 1993 · 573 citations · 14 references
Natural SciencesCommunicationElectrical EngineeringDynamical SystemsInformation TheorySystem DynamicsBifurcation TheoryChaos TheoryNonlinear DynamicsNonlinear Wave DynamicsOscillatorsSymbolic DynamicsChaos ControlChaos In Dynamical SystemsChaos SynchronizationChaotic AttractorsChaotic DynamicsChaotic OscillatorsOscillator Theory
The use of chaos to transmit information is described. Chaotic dynamical systems, such as electrical oscillators with very simple structures, naturally produce complex wave forms. We show that the symbolic dynamics of a chaotic oscillator can be made to follow a desired symbol sequence by using small perturbations, thus allowing us to encode a message in the wave form. We illustrate this using a simple numerical electrical oscillator model.
14
A Mathematical Theory of Communication
Claude E. Shannon · Bell System Technical Journal · 1948 · 80.7K citations
Synchronization in chaotic systems
Louis M. Pecora, Thomas L. Carroll · Physical Review Letters · 1990 · 10.6K citations
<i>The Mathematical Theory of Communication</i>
Claude E. Shannon, Warren Weaver, Norbert Wiener · Physics Today · 1950 · 9.9K citations
Edward Ott, Celso Grebogi, James A. Yorke · Physical Review Letters · 1990 · 5.4K citations
Dynamical Systems and Turbulence
Floris Takens · Medical Entomology and Zoology · 1981 · 2.1K citations