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

Abstract

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.