Impulsive Synchronization for Reaction-Diffusion System

Abstract

In this paper, an impulsive reaction-diffusion system is studied. Sufficient conditions are obtained for the global existence of solution for the impulsive system. By considering the equiattractivity property of the impulsive error system, the impulsive synchronization of the reaction-diffusion system is investigated, and the sufficient conditions leading to the equiattractivity property are obtained, and a numerical example is given.