Secure Communication System Based on Synchronized 3D Spherical Chaotic Systems

This article presents a 3-dimensional chaotic system that generates spherical attractor. The basis of the chaotic system is the Shilnikov criterion. For the first time in literature and which is the first contribution, this investigation shows the synchronization of two of the chaotic spherical systems in a master-slave topology using Hamiltonian forms and observer approach. As a second contribution, the article demonstrates further the implementation of a secure communication system using the synchronized master-slave system. To verify the secure communication system, the transmission system uses states x1, x2, and x3 as transmission variables to send and receive grayscale and RGB images. The performance analyses of the results, which examine the security and reliability which the transmission system, show that the system is very effective, robust against exhaustive attack, and removes relativity between the original and encrypted images with correlation coefficient very close to zero. Variables x1 and x3 give the best result in transmission of the grayscale and RGB images, respectively, based on the correlation coefficient between the original and encrypted images.