A highly chaotic attractor for a dual-channel single-attractor, private communication system

A one-parameter highly chaotic attractor is presented and its application to a dual-channel, single-attractor, private communication system is demonstrated based on self-synchronization and chaotic masking techniques. Only a single attractor is required for a dual-channel transmitter or receiver, and can be either the well-known Lorenz attractor, the Lorenz-like attractor, or the one-parameter highly chaotic attractor developed in this paper. The latter is particularly well suited for an application to private communications due to the relatively high values of both the maximum Lyapunov exponent of 2.6148 and the maximum Kaplan-Yorke dimension of 2.1921. An advantage of the dual channel is the possibly twice increase in higher speed.