Projective Synchronization of a Hyperchaotic Lorenz System

Abstract

In \u00a0this \u00a0paper, \u00a0the \u00a0dynamical \u00a0behaviors \u00a0and \u00a0projective \u00a0synchronization \u00a0of \u00a0a \u00a0five-dimensional hyperchaotic Lorenz system are investigated. First of all, a hyperchaotic system is constructed by introducing two \u00a0state \u00a0variables \u00a0into \u00a0the \u00a0Lorenz \u00a0chaotic \u00a0system. \u00a0Secondly, \u00a0the \u00a0dynamical \u00a0behaviors \u00a0of \u00a0the \u00a0proposed system, such as the dissipative property and equilibrium point, are discussed. Thirdly, based on the stability theory, the projective synchronization of the systems can be achieved. \u00a0Finally, some numerical simulations are given to verify the projective synchronization scheme.