A secure communication system based on a modified chaotic chua oscillator

Abstract

In this paper we propose a new scheme for secure communications us- ing 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 Poincar ´e maps and Lyapunov exponents will be pro- vided in order to demonstrate the feasibility of our system. Numerical simulations will be used to evaluate the performance of the system.