A modified Chua chaotic oscillator and its application to secure communications

Abstract

In this paper, a new modified Chua oscillator is introduced. The original Chua oscillator is well known for its simple implementation and mathemati- cal modeling. A modification of the oscillator is proposed in order to facilitate the synchronization and the encryption and decryption scheme. The modifi- cation consists in changing the nonlinear term of the original oscillator to a smooth and bounded nonlinear function. A bifurcation diagram, a Poincar ´e map and the Lyapunov exponents are presented as proofs of chaoticity of the newly modified oscillator. An application to secure communications is pro- posed in which two channels are used. Numerical simulations are performed in order to analyze the communication system.