A synchronized chaotic system and a communication system using the synchronized chaotic system is disclosed. The synchronized chaotic system comprises a master chaotic part and a slave chaotic part, and a first synchronizing part connected to the master chaotic part and a second synchronizing part connected to the slave chaotic part. The first and second synchronizing parts preform operational functions to synchronize a chaotic signal output of the master chaotic part with a chaotic signal output of the slave chaotic part. Each of the first and second synchronizing parts includes a first scaler, a subtracter, a second scaler, and an adder. Each output of the adder is fed back to the main and slave chaotic parts. The synchronization occurs when the synchronized system consisting of the variable differences of the master and the slave chaotic parts generates infinite period of laminar phase which is connected with on-off intermittency. Also, the synchronized chaotic system is applied to a communication system for encryption. The communication system comprises a transmitter including the master part and the first synchronizing part and further including an adder to hide message signals in the chaotic signal, and a receiver including the slave part and the second synchronizing part and further including a subtracter to retrieve the message signal from the mixed signal.
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