Driving and synchronizing by chaotic impulses

For a class of dynamical systems driven by chaotic impulses we give conditions for the occurrence of chaos locking. It is shown how the concept of time-discontinuous coupling of two chaotic systems may lead to generalized synchronization. The method of synchronization is interpreted as a nonlinear analog of the sampling theorem. Furthermore, we examine the effect of amplitude quantization of the driving signal on their synchronization. Even though two time-discontinuously coupled dynamical systems are no more exactly synchronized when the driving signal is digitized, their trajectories are close enough to allow correct transmission of digital information signals between them. {} 1996 The American Physical Society.