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A simple way to synchronize chaotic systems with applications to secure communication systems. (English) Zbl 0884.94004

Summary: The authors provide a scheme for synthesizing synchronized circuits and systems. Synchronization of the drive and response system is proved trivially without the need for computing numerically the conditional Lyapunov exponents. They give a definition of the driving and response system having the same functional form, which is more general than the concept of homogeneous driving by Pecora Carroll (1991). Finally, they show how synchronization coupled with chaos can be used to implement secure communication systems. This is illustrated with examples of secure communication systems which are inherently error-free in contrast to the signal-masking schemes proposed in Cuomo-Oppenheim (1993) and Kocarev et al. (1992).

MSC:

94A05 Communication theory
37N99 Applications of dynamical systems
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