The synchronization of strange nonchaotic systems based on contraction maps

In this paper, a new method of synchronization of strange nonchaotic systems is proposed. Strange nonchaotic attractors are obtained from a chaotic system. driven by another chaotic system. Because the Lyapunov exponent of the strange nonchaotic attractor is negative, it can suppresses the sensitive dependence on initial conditions of the chaotic system. In order to synchronize the strange nonchaotic system, contraction map is used to synchronize the chaotic driving system. Simulations indicate that this method can synchronize fast, be robust to nose, easily be implemented and can be used in the field of chaotic secure communication.