Control of chaotic synchronization and secure communication systems

The paper considers uniformly connected discrete time composite systems. We propose two control methods for chaotic synchronization for the composite systems. These methods use nonlinear feedback, and the achievement of synchronization is proved by a property of a contraction mapping. So the proof does not require Lyapunov exponents, and is very straightforward. It is then applied to the design of secure communication systems. We illustrate a secure communication system whose synchronization part is the Henon mapping, and discuss its security.<>