A Secure Communication System Based on a Modified Chaotic Chua Oscillator

In this paper we propose a new scheme for secure communications using a modified Chua oscillator. A modification of the oscillator is proposed in order to facilitate the decryption. The communication system requires two channels for transmitting the message. One of the channels transmits a chaotic signal generated by the oscillator and is used for synchronization. The second channel transmits the message encrypted by a nonlinear function. This function is built in terms of one of the chaotic signals, different from that sent on the first channel. In the receiver side, a synchronizer reconstructs the chaotic oscillator signals, one of which is used for the decryption of the message. The synchronization system is designed via Lyapunov theory and chaoticity proves via Poincaré maps and Lyapunov exponents will be provided in order to demonstrate the feasibility of our system. Numerical simulations will be used to evaluate the performance of the system.