Secure Communication Systems Based on Synchronization of Chaotic Vibration of Wave Equations

Abstract

In this paper, we treat the problem of constructing secure communication systems using chaotic synchronization of distributed parameter systems. In particular, we concentrate on the chaotic vibration of a wave equation with a van der Pol boundary condition. In general, a secure communication system consists of three components, a synchronization system, and modulation and demodulation components. In the present work, a wave equation generating non-isotropic spatiotemporal chaotic vibration is used. The non-isotropic characteristic makes it harder for the mechanism behind the synchronization system to be detected. To simulate the chaotic vibration accurately, a numerical algorithm is also developed. Finally, through security analysis by numerical simulations, it is shown that the introduction of non-isotropy makes one of the system parameters more sensitive.