Finite-Time Combination-Combination Synchronization of Hyperchaotic Systems and its Application in Secure Communication

Global finite time synchronization of a class of combination-combination chaotic systems via master-slave coupling is investigated. A nonlinear feedback controller and a continuous generalized linear state-error feedback controller with simple structure are introduced in the synchronization scheme. They are applied to a practical master-slave synchronization scheme for combination-combination systems, which consist of the Chen chaotic system, hyperchaotic Chen system and hyperchaotic Lorenz system. Numerical simulations are provided to illustrate the effectiveness of the new synchronization criteria. Based on the proposed synchronization, a scheme of secure communication is then established and the continuous and digital signals are transmitted using the chaotic mask method. Finally, simulation examples show that the transmitted message can be recovered successfully at the receiver end.