Abstract
In this paper, we present the anti-lag synchronisation (ALS) of two identical or non-identical hyperchaotic complex non-linear systems. Based on Lyapunov function a scheme is designed to achieve ALS of hyperchaotic attractors of these systems. The ALS of two identical complex Chen systems and two different hyperchaotic complex Lorenz and Lu systems are taken as two examples to verify the feasibility of the presented scheme. Numerical simulations are computed to demonstrate the effectiveness of the analytical expressions of the controller.