Abstract: 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.

Abstract: 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 synchronizing part. The synchronizing part preforms operational functions to synchronize a chaotic signal output of the master chaotic part with a chaotic signal output of the slave chaotic part. The synchronizing part for preforming the operational functions includes a subtractor, scaler, and an adder. The output of the adder is is feedbacked to the slave chaotic part. 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.