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While synchronization of coupled chaotic systems has been the subject of intensive research, many issues in this field remain open. Among the most important of these is robustness to channel noise: Can synchronization be guaranteed even if the coupling channel is noisy? This issue is of great significance if coupled chaotic systems are to find use in communications, as has been suggested by some researchers. In this paper, we show that chaotic maps can indeed be synchronized reliably even in the presence of some types of channel noise, simply through the use of thresholding. This synchronization is reliable and rapid enough to be useful in digitally implemented systems with finite precision. We also outline a simple communication scheme using the proposed synchronization method. S1063-651X9900901-0

The research reported in this paper focuses on the response of identical discrete-time neural oscillators to a random telegraph signal input. It is shown that there are well-defined domains in which the random input can synchronize even a large population of oscillators within a few hundred steps. The presence of chaos is shown to be essential for the synchronization, which suggests a possible role for chaos in spatially extended physical systems. The effect of independent noise on the system is also studied.