Impulsive control and synchronization of spatiotemporal chaos in the gray–scott model

Abstract

This chapter investigates the impulsive control and synchronization problem of spatiotemporal chaos in the Gray–Scott model. Based on the Lyapunov function method, a class of pinning impulsive controller is designed to stabilize and synchronize the spatiotemporal chaos in the Gray–Scott model. The approach allows us to analyze the stability and synchronization problem of other spatiotemporal chaotic systems with the same structure. Numerical simulations are provided to illustrate the theoretical results.