Control, projective synchronization and anti-synchronization of hyperchaotic Lorenz Stenflo systems

Abstract

In this paper, we investigated the control, projective synchronization and antisynchronization of hyperchaotic Lorenz-Stenflo systems. By employing Lyapunov direct method, nonlinear controllers are designed to stabilize the unstable equilibrium of the Lorenz-Stenflo system successfully and also achieve mixed projective synchronization of two identical Lorenz-Stenflo system evolving from different initial conditions. The feasibility of the obtained results is validated with numerical simulation.