Synchronization in time-discrete delayed chaotic systems

This paper uses the Euler method to a delayed chaotic system, resulting that a time-discrete drive system is obtained. And then a time-discrete response system with negative feedback and impulsive effect is designed. Some sufficient conditions are given to ensure that the drive–response systems are globally impulsively exponentially synchronized. At last, the effective and the feasibility of the drive–response systems are illustrated by some numerical examples.